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“எண்ணிய முடிதல் வேண்டும்,

நல்லவே எண்ணல் வேண்டும்;

திண்ணிய நெஞ்சம் வேண்டும்,

தெளிந்தநல் லறிவு வேண்டும்;”

        - மகாகவி சி. சுப்பிரமணிய பாரதி

“Let my thoughts bloom into action;

Let me think only noble thoughts;

Let me have valiant heart;

Let me have a clear wisdom;"

         - Mahakavi C. Subramania Bharathiar

PROFILE

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

ACADEMIC IDENTITY Scopus   ORCID   Google Scholar   Publons   Vidwan / IRINS

Research Area

  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

Courses Teaching

  • Algebra
  • Algebra-I
  • Algebra-II
  • Complex Analysis
  • Functional Analysis
  • Number Theory & Cryptography
  • Probability Theory
  • Nonlinear Differential Equations
  • Matlab
  • Mathematica

EDUCATION & CAREER

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

Education

Ph. D.
Subject : Mathematics
Institution : Gandhigram Rural Institute-Deemed University
Affiliated University : Gandhigram Rural Institute-Deemed University
Year of Award : 2011

M. Sc.,

Subject: Mathematics
Institution : PSG College of Arts and Science
Affiliated University : Bharathiar University

Year of Award : 2004

B. Sc.,

Subject: Mathematics
Institution: Sri Ramakrishna Mission Vidyalaya College of Arts and Science
Affiliated University: Bharathiar University
Year of Award: 2002

Career

At Bharathiar University (Reverse Order)
Assistant Professor : 28-02-2011 to Till now

Past Experience

1..Gandhigram Rural Institute-Deemed University, Project Fellow UGC-SAP (DRS) Programme, 07-03-2005 to  31-03-2009.

2.Gandhigram Rural Institute-Deemed University, CSIR SRF,  01-04-2009 to 04-02-2011.

 

RESEARCH AREAS

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

PUBLICATIONS

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

202. Fractional-order delay differential equations for the dynamics of hepatitis C virus infection with IFN-α treatment. 
        FA Rihan, AA Arafa, R Rakkiyappan, C Rajivganthi, Y Xu
        Alexandria Engineering Journal 60 (5), 4761-4774.

201. Anti-proliferative phytoconstituents from Striga angustifolia (D. Don) CJ Saldanha–An in vitro and in silico approach. 
       K Raja, S Selvakumar, R Rakkiyappan, KP Veerakumari, K Vasanth,
       Phytomedicine Plus 1 (3),  2021, 100062

200. Mutiple ψ-type stability of fractional-order quaternion-valued neural networks.
        K Udhayakumar, R Rakkiyappan, X Li, J Cao,  
        Applied Mathematics and Computation 401,  2021,  126092.

199. Stabilization of stochastic delayed systems: Event-triggered impulsive control.
        D Peng, X Li, R Rakkiyappan, Y Ding, 
        Applied Mathematics and Computation  401,  2021, 126054

198. Finite-time and fixed-time synchronization control of discontinuous fuzzy Cohen-Grossberg neural networks with uncertain external perturbations and mixed time delays.
        F Kong, R. Rakkiyappan, 
        Fuzzy Sets and Systems 411, 2021, 105-135

197. Quasi‐bipartite synchronisation of multiple inertial signed delayed neural networks under distributed event‐triggered impulsive control strategy
        K Udhayakumar, FA Rihan, X Li, R Rakkiyappan, 
        IET Control Theory & Applications, 2021, 1-14.

196. Memory sampled data control for switched-type neural networks and its application in image secure communications.
        Y Cao, K Udhayakumar, KP Veerakumari, R Rakkiyappan
        Mathematics and Computers in Simulation, 2021.

195. Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model.
    P Nirvin, FA Rihan, R Rakkiyappan, C Pradeep.
    Mathematics and Computers in Simulation, 2021.

194. Event‐triggered integral sliding mode control of Takagi‐Sugeno fuzzy stochastic systems
        V Sharmila, R Rakkiyappan, Y Hoon Joo. 
        International Journal of Adaptive Control and  Signal Processing, 2021.

193. Hidden Markov-Model-Based Control Design for Multilateral Teleoperation System With Asymmetric Time-Varying Delays
        R Rakkiyappan, R Baranitha, Z Zeng. 
        IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020, 1-12

192. Morphological traits of drought tolerant horse gram germplasm: classification through machine learning
        TC Amal, AT Thottathil, KP Veerakumari, R Rakkiyappan, K Vasanth
        Journal of the Science of Food and Agriculture 100 (13), 2020, 4959-4967.

191. Almost periodic dynamics of memristive inertial neural networks with mixed delays.
       R Rajan, V Gandhi, P Soundharajan, YH Joo,
       Information Sciences 536, 2020,332-350

190. Integral sliding mode control for T–S fuzzy descriptor systems. 
        M. Prakash, R. Rakkiyappan, Young Hoon Joo, 
        Nonlinear Analysis: Hybrid Systems 39, 2021, 100953.

189. Stability and bifurcation analysis of hepatitis B‐type virus infection model   
        M Prakash, R Rakkiyappan, A Manivannan, H Zhu, J Cao, 
        Mathematical Methods in the Applied  Sciences, 44 (2021), 6462-6481.

188. Mittag-Leffler stability analysis of multiple equilibrium points in impulsive fractional-order quaternion-valued neural networks.
        K Udhayakumar, R Rakkiyappan, J Cao, X Tan
        Frontiers of Information Technology & Electronic Engineering 21,2020, 234-246.

187. Hopf bifurcation of a fractional-order octonion-valued neural networks with time delays.
        K Udhayakumar, R Rakkiyappan,
        Discrete & Continuous Dynamical Systems-S 13 (9), 2020, 2537-2559. 

186. Quasi-synchronization and bifurcation results on fractional-order quaternion-valued neural networks. 
        K Udhayakumar, Xiaodi Li, R Rakkiyappan, 
        IEEE Transactions on Neural  Networks and Learning Systems, 31 (10) 2020, 4063 – 4072.

185. Exponential synchronization of inertial memristor-based neural networks with time delay using average impulsive interval approach
        R Rakkiyappan, D Gayathri, G Velmurugan, J  Cao, 
        Neural Processing Letters 50 (3), 2019, 2053-2071.

184.  A fractional-order model for Zika virus infection with multiple delays. 
        R Rakkiyappan, VP Latha, FA Rihan. 
        Complexity 2019, 2019, 4178073. 

183. T–S Fuzzy Model-Based Single-Master Multislave Teleoperation Systems With Decentralized Communication Structure and Varying Time Delays.
         R Baranitha, R Rakkiyappan, X Li,
         IEEE Transactions on Fuzzy Systems 28 (12), 2020, 3406-3417.

182. Fuzzy Sampled-Data Control for DFIG-Based Wind Turbine With Stochastic Actuator Failures
        V Sharmila, R Rakkiyappan, YH Joo.
        IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51 (4) 2021, 2199 – 2211.

181. Robust synchronisation control of discontinuous CGNNs with time-varying delays
        F Kong, Q Zhu, R Rakkiyappan, 
        International Journal of Control, 2019.

180. Design of observer-based event-triggered fuzzy ISMC for TS fuzzy model and its application to PMSG. 
        M. Prakash, R. Rakkiyappan, YH Joo. 
        IEEE Transactions on Systems, Man, and Cybernetics: Systems 51 (4), 2021, 2221 – 2231.

179. Dynamical analysis of antigen-driven T-cell infection model with multiple delays
        M Prakash, R Rakkiyappan, A Manivannan, J Cao. 
        Applied Mathematics and Computation 354, 2019, 266-281.

178. Adaptive control for fractional order induced chaotic fuzzy cellular neural networks and its application to image encryption
       M. Prakash, R. Rakkiyappan, S. Lakshmanan, YH Joo
       Information Sciences 491, 2019, 74-89.

177. Interval-valued intuitionistic hesitant fuzzy entropy based VIKOR method for industrial robots selection
        S Narayanamoorthy, S Geetha, R Rakkiyappan, YH Joo. 
        Expert Systems  with Applications 121, 2019, 28-37.

176. Bilateral teleoperation of single-master multislave systems with semi-Markovian jump stochastic interval time-varying delayed communication channels
        R Baranitha, R  Mohajerpoor, R Rakkiyappan, 
        IEEE transactions on cybernetics, 51 (1), 2021, 247 – 257.

175. An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach
       C Pradeep, Y Cao, R  Murugesu, R Rakkiyappan, 
       Mathematics and Computers in Simulation 155, 2019, 41-56.

174. Adaptive fractional fuzzy integral sliding mode control for PMSM model
       M. Prakash, R. Rakkiyappan, S. Lakshmanan, YH Joo.
       IEEE Transactions on Fuzzy Systems 27 (8), 2019, 1674-1686.

173. Adaptive synchronization of reaction–diffusion neural networks and its application to secure communication
        L Shanmugam, P Mani, R Rajan, YH Joo,
        IEEE transactions on cybernetics 50 (3), 2020, 911-922.

172. Stability analysis of nonlinear telerobotic systems with time-varying communication channel delays using general integral inequalities.
        R Baranitha, R Rakkiyappan, R Mohajerpoor, S Al-Wais,
        Information Sciences 465, 2018, 353-372.

171. Delayed state-feedback control for stabilization of neural networks with leakage delay
        H Zhu, R Rakkiyappan, X Li, 
        Neural Networks 105, 2018, 249-255.

170. Event-triggered H∞ state estimation for semi-Markov jumping discrete-time neural networks with quantization
        R Rakkiyappan, K Maheswari, G Velmurugan, JH Park,
        Neural Networks 105, 2018, 236-248.

169. A fractional-order model for Ebola virus infection with delayed immune response on heterogeneous complex networks
      V Preethi Latha, FA Rihan, R Rakkiyappan, G Velmurugan
     Journal of Computational and Applied Mathematics 339, 2018, 134-146.

168. Non-fragile finite-time l2− l∞ state estimation for discrete-time neural networks with semi-Markovian switching and random sensor delays based on Abel lemma approach.
      R Rakkiyappan, K Maheswari, K Sivaranjani, YH Joo, 
      Nonlinear Analysis: Hybrid Systems 29, 2018, 283-302.

167. Persistent impulsive effects on stability of functional differential equations with finite or infinite delay
        X Li, J Shen, R Rakkiyappan. 
        Applied Mathematics and Computation 329, 2018, 14-22.

166. µ-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays.
        X Lv, R Rakkiyappan, X Li. 
        Nonlinear Analysis: Modelling and Control 23 (3), 2018, 380-400.

165. Event triggered reliable synchronization of semi-Markovian jumping complex dynamical networks via generalized integral inequalities
        K Sivaranjani, R Rakkiyappan, YH Joo
        Journal of the Franklin Institute 355 (8), 2018, 3691-3716.

164.Stabilization of a Class of Nonlinear Coupled Ordinary Differential Equation–Partial Differential Equation Systems Via Sampled-Data H∞ Fuzzy Controller
       S Dharani, R Rakkiyappan, S Lakshmanan, 
       Journal of Dynamic Systems, Measurement, and Control 140 (4), 2018, 041007.
 
163.Comparison principle for impulsive functional differential equations with infinite delays and applications. 
       X Li, J Shen, H Akca, R Rakkiyappan.
       Communications in Nonlinear Science and Numerical Simulation 57, 2018, 309-321.

162. New delay range–dependent stability criteria for interval time‐varying delay systems via Wirtinger‐based inequalities. 
        R Mohajerpoor, L Shanmugam, H Abdi, R Rakkiyappan, S Nahavandi, P. Shi. 
        International Journal of Robust and Nonlinear Control 28 (2), 2018, 661-677

161. Applications of delay differential equations in biological systems.
        FA Rihan, C Tunc, SH Saker, S Lakshmanan, R Rakkiyappan. 
        Complexity 2018, 2018, 4584389.

160. Extended dissipativity state estimation for switched discrete-time complex dynamical networks with multiple communication channels: A sojourn probability dependent approach.
        R Sasirekha, R Rakkiyappan. 
        Neurocomputing 267, 2017, 55-68.

159. Stability and synchronization of fractional-order complex-valued neural networks with time delay: LMI approach. 
        K Udhayakumar, R Rakkiyappan, G Velmurugan. 
       The European Physical Journal Special Topics 226 (16), 2018, 3639-3655.

158. Stability and Hopf bifurcation analysis of fractional-order complex-valued neural networks with time delays. 
        R Rakkiyappan, K Udhayakumar, G Velmurugan, J Cao, A Alsaedi
        Advances in Difference Equations 2017 (1), 2017, 1-25.

157. A fractional-order delay differential model for Ebola infection and CD8 T-cells response: Stability analysis and Hopf bifurcation. 
        V Preethi Latha, FA Rihan, R Rakkiyappan, G Velmurugan, 
        International Journal of Biomathematics 10 (08), 2017, 1750111

156. Combined and passivity control for networked control systems with random gain fluctuations and sojourn probabilities: A switched system approach
        R Sasirekha, R Rakkiyappan, J Cao, 
        International Journal of Robust and Nonlinear Control 27 (17), 2017, 3524-3548.

155. State estimation of discrete-time markov jump neural networks with general transition probabilities and output quantization. 
        R Sasirekha, R Rakkiyappan, J Cao, Y Wan, A Alsaedi
        Journal of Difference Equations and Applications 23 (11), 2017, 1824-1852.

154.Non-weighted H∞ state estimation for discrete-time switched neural networks with persistent dwell time switching regularities based on Finsler’s lemma. 
       R Rakkiyappan, K Maheswari, K Sivaranjani, 
       Neurocomputing 260, 2017, 131-141.

153. Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control
       K Sivaranjani, R Rakkiyappan, J Cao, A Alsaedi
       Applied Mathematics and Computation 311, 2017, 283-299.

152. Exponential  H ∞ Synchronization of Lur’e Complex Dynamical Networks Using Pinning Sampled-Data Control.
        R Rakkiyappan, V Preethi Latha, K Sivaranjani,
        Circuits, Systems, and Signal Processing 36 (10), 2017, 3958-3982.

151. Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control. 
       R Rakkiyappan, G Velmurugan, JN George, R Selvamani, 
       Applied Mathematics and Computation 307, 2017, 217-231. 

150. Synchronization of generalized reaction-diffusion neural networks with time-varying delays based on general integral inequalities and sampled-data control approach. 
        S Dharani, R Rakkiyappan, J Cao, A Alsaedi. 
       Cognitive neurodynamics 11 (4),  2017, 369-381.


149. Exponential synchronization of Markovian jumping chaotic neural networks with sampled-data and saturating actuators. 
        R Rakkiyappan, VP Latha, Q Zhu, Z Yao.
        Nonlinear Analysis: Hybrid Systems 24, 2017, 28-44.

148. Pinning sampled-data synchronization of coupled inertial neural networks with reaction-diffusion terms and time-varying delays. 
       S Dharani, R Rakkiyappan, JH Park, 
       Neurocomputing 227, 2017, 101-107.

147. Sampled-data synchronization of randomly coupled reaction–diffusion neural networks with Markovian jumping and mixed delays using multiple integral approach.
        R Rakkiyappan, S Dharani, 
        Neural Computing and Applications 28 (3), 449-462.

146. Robust stochastic sampled-data control for offshore steel jacket platforms with non-linear perturbations. 
        K Sivaranjani, R Rakkiyappan, S Lakshmanan, CP Lim. 
        IMA Journal of Mathematical Control and Information 34 (1), 2017, 337-357.

145. Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay. 
       G Velmurugan, R Rakkiyappan, V Vembarasan, J Cao, A Alsaedi, 
       Neural Networks 86, 2017, 42-53.

144. Delayed impulsive synchronization of nonlinearly coupled Markovian jumping complex dynamical networks with stochastic perturbations. 
        K Sivaranjani, R Rakkiyappan. 
        Nonlinear Dynamics, 88, 2017, 1917–1934.

143. Improved delay-dependent stability criteria for neutral systems with mixed interval time-varying delays and nonlinear disturbances. 
        R Mohajerpoor, L Shanmugam, H Abdi, R Rakkiyappan, S Nahavandi, Ju. H. Park, 
        Journal of the Franklin Institute 354 (2), 2017, 1169-1194.

142. Asymptotical Synchronization of Lur'e Systems Using Network Reliable Control. 
        R Rakkiyappan, S Lakshmanan, CP Lim, 
        Journal of Dynamic Systems, Measurement, and Control 139 (1) 2017, 011004.

141. Synchronization and periodicity of coupled inertial memristive neural networks with supremums.
        R Rakkiyappan, E Udhaya Kumari, A Chandrasekar, R Krishnasamy,  
        Neurocomputing 214, 2016, 739-749

140. Synchronization of an inertial neural network with time-varying delays and its application to secure communication. 
        S Lakshmanan, M Prakash, CP Lim, R Rakkiyappan, P Balasubramaniam,S Nagavandi, 
        IEEE transactions on neural networks and learning systems 29 (1), 2018, 195-207.

139. Synchronization of memristor‐based delayed BAM neural networks with fractional‐order derivatives. 
        C Rajivganthi, FA Rihan, S Lakshmanan, R Rakkiyappan, P Muthukumar
        Complexity 21 (S2), 2016, 412-426 .
138.Synchronization of discrete-time Markovian jump complex dynamical networks with random delays via non-fragile control
     R Rakkiyappan, R Sasirekha, S Lakshmanan, CP Lim
     Journal of the Franklin Institute 353 (16), 2016, 4300-4329.

137.Stability and synchronization analysis of inertial memristive neural networks with time delays.
       R Rakkiyappan, S Premalatha, A Chandrasekar, J Cao,
       Cognitive neurodynamics 10 (5), 2016, 437-451.

136.Pinning sampled‐data synchronization of complex dynamical networks with Markovian jumping and mixed delays using multiple integral approach. 
       K Sivaranjani, R Rakkiyappan
       Complexity 21 (S1), 2016, 622-632.

135. Effects of bounded and unbounded leakage time-varying delays in memristor-based recurrent neural networks with different memductance functions. 
        A Chandrasekar, R Rakkiyappan, X Li. 
        Neurocomputing 202, 2016,  67-83.

134.Stochastic sampled data robust stabilisation of TS fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. 
       R Rakkiyappan, A Chandrasekar, S Lakshmanan. 
       International Journal of Systems Science 47 (10), 2016,  2247-2263.

133.Analysis of global O (t− α) stability and global asymptotical periodicity for a class of fractional-order complex-valued neural networks with time varying delays. 
       R Rakkiyappan, R Sivaranjani, G Velmurugan, J Cao.
       Neural Networks 77, 2016,  51-69.

132. Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays. 
        R Rakkiyappan, K Sivaranjani.
        Nonlinear Dynamics 84 (3), 2016,  1623-1636.

131. Hybrid projective synchronization of fractional-order chaotic complex nonlinear systems with time delays. 
        G Velmurugan, R Rakkiyappan. 
        Journal of Computational and Nonlinear Dynamics 11 (3), 2016, 031016.

130. Robust stability analysis of stochastic neural networks with M arkovian jumping parameters and probabilistic time‐varying delays. 
        C Pradeep, A Chandrasekar, R Murugesu, R Rakkiyappan, 
        Complexity 21 (5), 2016,  59-72.

129.Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations. 
       R Rakkiyappan, S Lakshmanan, R Sivasamy, CP Lim. 
        Applied Mathematical Modelling 40 (7-8),  2016, 5026-5043.

128.H∞ state estimator design for discrete-time switched neural networks with multiple missing measurements and sojourn probabilities. 
       R Rakkiyappan, R Sasirekha, Y Zhu, L Zhang
       Journal of The Franklin Institute 353 (6), 2016,  1358-1385.

127. Global dissipativity of memristor-based complex-valued neural networks with time-varying delays. 
        R Rakkiyappan, G Velmurugan, X Li, D O’Regan. 
        Neural Computing and Applications 27 (3), 2016,  629-649.

126.Exponential H∞ filtering analysis for discrete-time switched neural networks with random delays using sojourn probabilities. 
      JD Cao, R Rakkiyappan, K Maheswari, A Chandrasekar. 
      Science China Technological Sciences 59 (3), 2016,  387-402.

125.Sampled-Data  H ∞ Synchronization of Chaotic Lur’e Systems with Time Delay. 
       J Cao, R Sivasamy, R Rakkiyappan. 
       Circuits, Systems, and Signal Processing 35 (3), 2016,  811-835.

124. Stability analysis of memristor‐based complex‐valued recurrent neural networks with time delays. 
        R Rakkiyappan, G Velmurugan, FA Rihan, S Lakshmanan. 
        Complexity 21 (4), 2016,  14-39.

123.Impulsive controller design for exponential synchronization of delayed stochastic memristor-based recurrent neural networks.
       A Chandrasekar, R Rakkiyappan. 
      Neurocomputing 173, 2016,  1348-1355.

122.Exponential stability results for fixed and random type impulsive Hopfield neural networks. 
       A Vinodkumar, R Rakkiyappan. 
       International Journal of Computing Science and Mathematics 7 (1), 2016,  1-19.

121.Finite-time synchronization of fractional-order memristor-based neural networks with time delays. 
      G Velmurugan, R Rakkiyappan, J Cao. 
      Neural Networks 73, 2016,  36-46.

120.Hybrid projective synchronization of fractional-order memristor-based neural networks with time delays. 
       G Velmurugan, R Rakkiyappan.
       Nonlinear Dynamics 83 (1-2), 2016,  419-432.

119. An improved stability criterion for generalized neural networks with additive time-varying delays. 
       R Rakkiyappan, R Sivasamy, JH Park, TH Lee. 
       Neurocomputing 171, 2016,  615-624.

118. Passivity analysis of memristor-based complex-valued neural networks with time-varying delays. 
        G Velmurugan, R Rakkiyappan, S Lakshmanan. 
        Neural processing letters 42 (3),  2015, 517-540.

117. Asymptotic synchronization of continuous/discrete complex dynamical networks by optimal partitioning method
       R Rakkiyappan, R Sasirekha. 
       Complexity 21 (2), 2015,  193-210.

116. Robust stochastic sampled-data H∞ control for a class of mechanical systems with uncertainties. 
        S Dharani, R Rakkiyappan, J Cao. 
        Journal of Dynamic Systems, Measurement, and Control 137 (10), 2015, 101008.

115. Impulsive synchronization of Markovian jumping randomly coupled neural networks with partly unknown transition probabilities via multiple integral approach
        A Chandrasekar, R Rakkiyappan, J Cao.
       Neural Networks 70, 2015,  27-38.

114. Stochastic sampled-data H∞ synchronization of coupled neutral-type delay partial differential systems. 
        R Rakkiyappan, S Dharani, Q Zhu.
       Journal of The Franklin Institute 352 (10), 2015,  4480-4502.

113. Comments and further improvements on “Passivity and passification of memristor-based complex-valued recurrent neural networks with interval time-varying delays”.
        R Rakkiyappan, K Sivaranjani, G Velmurugan. 
        Neurocomputing 165, 2015,   433-435.

112. On the stability of impulsive functional differential equations with infinite delays. 
        X Li, T Caraballo, R Rakkiyappan, X Han. 
        Mathematical Methods in the Applied Sciences 38 (14), 2015, 3130-3140.

111. Leader-following consensus for networked multi-teleoperator systems via stochastic sampled-data control. 
       R Rakkiyappan, B Kaviarasan, JH Park. 
       Neurocomputing 164, 2015, 272-280.

110. Stability analysis of fractional-order complex-valued neural networks with time delays. 
        R Rakkiyappan, G Velmurugan, J Cao. 
        Chaos, Solitons & Fractals 78, 2015,  297-316.

109. Robust non-fragile control for offshore steel jacket platform with nonlinear perturbations. 
        K Sivaranjani, R Rakkiyappan, S Lakshmanan, CP Lim. 
        Nonlinear dynamics 81 (4), 2015, 2043-2057.

108. Stochastic sampled-data stabilization of neural-network-based control systems. 
        R Rakkiyappan, R Sivasamy, J Cao. 
        Nonlinear dynamics 81 (4), 2015, 1823-1839.

107. Non‐fragile synchronization control for complex networks with additive time‐varying delays. 
        N Sakthivel, R Rakkiyappan, JH Park. 
        Complexity 21 (1), 2015,  296-321.

106. Cluster synchronization for T–S fuzzy complex networks using pinning control with probabilistic time‐varying delays. 
        R Rakkiyappan, N Sakthivel. 
        Complexity 21 (1), 2015, 59-77.

105. Pinning sampled-data control for synchronization of complex networks with probabilistic time-varying delays using quadratic convex approach. 
       R Rakkiyappan, N Sakthivel
       Neurocomputing 162, 2015,  26-40.

104. Leader-following consensus of multi-agent systems via sampled-data control with randomly missing data. 
        R Rakkiyappan, B Kaviarasan, J Cao. 
        Neurocomputing 161, 2015, 132-147.

103. Stochastic Sampled-Data Control for H∞ Stabilization of Transport Reaction Systems. 
        R Rakkiyappan, S Dharani. 
        Journal of Dynamic Systems, Measurement, and Control 137 (8), 2015, 1-12.

102. Synchronization of singular Markovian jumping complex networks with additive time-varying delays via pinning control
        R Rakkiyappan, B Kaviarasan, FA Rihan, S Lakshmanan
        Journal of the Franklin Institute 352 (8), 2015,  3178-3195.

101. Further analysis of global μ-stability of complex-valued neural networks with unbounded time-varying delays. 
        G Velmurugan, R Rakkiyappan, J Cao.
        Neural Networks 67, 2015, 14-27.

100. Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays. 
        R Rakkiyappan, N Sakthivel, J Cao
        Neural Networks 66, 2015, 46-63.

99. Complete stability analysis of complex-valued neural networks with time delays and impulses. 
        R Rakkiyappan, G Velmurugan, X Li. 
        Neural Processing Letters 41 (3), 2015, 435-468.

98. Synchronization of neural networks with control packet loss and time-varying delay via stochastic sampled-data controller. 
        R Rakkiyappan, S Dharani, J Cao.
        IEEE transactions on neural networks and learning systems 26 (12), 2015, 3215-3226.

97. Globally exponential stability of nonlinear impulsive switched systems./
        F Xu, L Dong, D Wang, X Li, R Rakkiyappan. 
        Mathematical Notes 97 (5), 2015, 803-810.

96. Fractional-order delayed predator–prey systems with Holling type-II functional response.
        FA Rihan, S Lakshmanan, AH Hashish, R Rakkiyappan, E Ahmed. 
        Nonlinear Dynamics 80 (1), 2015, 777-789.

95. Stability analysis of memristor-based fractional-order neural networks with different memductance functions. 
        R Rakkiyappan, G Velmurugan, J Cao. 
        Cognitive neurodynamics 9 (2), 2015, 145-177.

94. New delay-dependent stability criteria for switched Hopfield neural networks of neutral type with additive time-varying delay components. 
        S Dharani, R Rakkiyappan, J Cao
        Neurocomputing 151, 2015, 827-834.

93. Synchronization of identical and nonidentical memristor-based chaotic systems via active backstepping control technique. 
      R Rakkiyappan, R Sivasamy, X Li. 
      Circuits, Systems, and Signal Processing 34 (3), 2015, 763-778.

92. Dissipativity analysis of memristor-based complex-valued neural networks with time-varying delays. 
      X Li, R Rakkiyappan, G Velmurugan. 
      Information Sciences 294, 2015, 645-665.

91. Multiple μ-stability analysis of complex-valued neural networks with unbounded time-varying delays. 
      R Rakkiyappan, G Velmurugan, J Cao. 
      Neurocomputing 149, 2015,  594-607.

90. Exponential stability for markovian jumping stochastic BAM neural networks with mode‐dependent probabilistic time‐varying delays and impulse control. 
      R Rakkiyappan, A Chandrasekar, S Lakshmanan, JH Park. 
      Complexity 20 (3), 2015, 39-65.

89. Stability analysis of fractional-order Hindmarsh-Rose neuron model with time-delays. 
      G Velmurugan, R Rakkiyappan. 
      J. Int. Acad. Phys. Sci 19 (3), 2015, 233-243.

88. On the stability of impulsive functional differential equations with infinite delays.
      T Caraballo Garrido, L Xiaodi, R Rakkiyappan, H Xiaoying. 
      Mathematical Methods in the Applied Sciences, 38 (14), 2015, 3130–3140.

87. Hybrid Projective Synchronization of Fractional-Order Neural Networks with Time Delays. 
     G Velmurugan, R Rakkiyappan. 
     Mathematical Analysis and its Applications, 143,2015, 645-655.

86. LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter. 
      X Li, J Shen, H Akca, R Rakkiyappan.
     Applied Mathematics and Computation 250, 2015,  798-804.

85. Exponential input-to-state stability of stochastic Cohen–Grossberg neural networks with mixed delays. 
      Q Zhu, J Cao, R Rakkiyappan. 
      Nonlinear Dynamics 79 (2), 2015,  1085-1098.

84. Synchronization of reaction–diffusion neural networks with time-varying delays via stochastic sampled-data controller. 
      R Rakkiyappan, S Dharani, Q Zhu. 
     Nonlinear Dynamics 79 (1), 2015, 485-500.

83. Stochastic sampled-data control for exponential synchronization of Markovian jumping complex dynamical networks with mode-dependent time-varying coupling delay. 
      R Rakkiyappan, N Sakthivel. 
     Circuits, Systems, and Signal Processing 34 (1), 2015,  153-183.

82. Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays.
      R Rakkiyappan, G Velmurugan, J Cao. 
      Nonlinear Dynamics 78 (4), 2014, 2823-2836.

81. Improved stability criteria for neutral type Lur’e systems with time-varying delays.
      R Sivasamy, R Rakkiyappan. 
      Applied Mathematics Letters 38, 2014,  168-173.

80. Passivity and passification of memristor-based complex-valued recurrent neural networks with interval time-varying delays. 
      R Rakkiyappan, K Sivaranjani, G Velmurugan
      Neurocomputing 144, 2014, 391-407.

79. Passivity and passification of memristor-based recurrent neural networks with additive time-varying delays. 
      R Rakkiyappan, A Chandrasekar, J Cao.
      IEEE transactions on neural networks and learning systems 26 (9), 2014,  2043-2057.

78. Non-fragile robust synchronization for Markovian jumping chaotic neural networks of neutral-type with randomly occurring uncertainties and mode-dependent time-varying delays
      R Rakkiyappan, A Chandrasekar, G Petchiammal. 
      ISA transactions 53 (6), 2014,  1760-1770.

77. Exponential synchronization criteria for Markovian jumping neural networks with time-varying delays and sampled-data control. 
      R Rakkiyappan, A Chandrasekar, JH Park, OM Kwon 
      Nonlinear Analysis: Hybrid Systems 14, 2014,  16-37.

76. Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters
      S Lakshmanan, FA Rihan, R Rakkiyappan, JH Park. 
      Nonlinear analysis: Hybrid systems 14, 2014, 1-15.

75. Non-Fragile Synchronization Control For Markovian Jumping Complex Dynamical Networks With Probabilistic Time-Varying Coupling Delays.  
      Xiaodi Li, R. Rakkiyappan, N. Sakthivel. 
      Asian Journal of Control, 17 (5), 2014, 1678-1695.

74. Synchronization of memristor-based recurrent neural networks with two delay components based on second-order reciprocally convex approach. 
      A Chandrasekar, R Rakkiyappan, J Cao, S Lakshmanan. 
     Neural Networks 57, 2014, 79-93.

73. Comments on “Design of sampled data state estimator for Markovian jumping neural networks with leakage time-varying delays and discontinuous Lyapunov functional approach”. 
      R Rakkiyappan, Q Zhu. 
      Nonlinear Dynamics 77 (3), 2014,  1069-1076.

72. Stochastic stability of Markovian jump BAM neural networks with leakage delays and impulse control. 
      Q Zhu, R Rakkiyappan, A Chandrasekar. 
      Neurocomputing 136, 2014, 136-151.

71. Exponential synchronization of Markovian jumping neural networks with partly unknown transition probabilities via stochastic sampled-data control.
       A Chandrasekar, R Rakkiyappan, FA Rihan, S Lakshmanan.
      Neurocomputing 133, 2014, 385-398.

70. Impulsive effect on exponential synchronization of neural networks with leakage delay under sampled-data feedback control. 
     S Lakshmanan, JH Park, FA Rihan, R Rakkiyappan
     Chinese Physics B 23 (7), 2014, 070205.

69. Exponential stability of Markovian jumping stochastic Cohen–Grossberg neural networks with mode-dependent probabilistic time-varying delays and impulses. 
      R Rakkiyappan, A Chandrasekar, S Lakshmanan, JH Park.
      Neurocomputing 131, 2014, 265-277.

68. Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays.
      R Rakkiyappan, A Chandrasekar, FA Rihan, S Lakshmanan. 
      Mathematical biosciences 251, 2014,  30-53.

67. Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control. 
     R Rakkiyappan, R Sivasamy, S Lakshmanan. 
     Chinese Physics B 23 (6), 2014, 060504.

66. On fractional SIRC model with salmonella bacterial infection. 
      FA Rihan, D Baleanu, S Lakshmanan, R Rakkiyappan. 
      Abstract and Applied Analysis 2014, 2014, 136263.

65. Existence and uniform stability analysis of fractional-order complex-valued neural networks with time delays. 
      R Rakkiyappan, J Cao, G Velmurugan.
      IEEE Transactions on Neural Networks and Learning Systems 26 (1), 2014,  84-97.

64. Stability of stochastic neural networks of neutral type with Markovian jumping parameters: a delay-fractioning approach
      R Rakkiyappan, Q Zhu, A Chandrasekar
      Journal of the Franklin Institute 351 (3), 2014, 1553-1570.

63. State estimation of memristor‐based recurrent neural networks with time‐varying delays based on passivity theory.
       R Rakkiyappan, A Chandrasekar, S Laksmanan, JH Park
       Complexity 19 (4), 2014, 32-43.

62. On Fractional SIRC Model with Salmonella Bacterial Infection
      D Baleanu, FA Rihan, S Lakshmanan, R Rakkiyappan.  
      Abstract and Applied Analysis , 2014, 2014, 136263.

61. Synchronization of fractional-order different memristor-based chaotic systems using active control. 
     R Rakkiyappan, R Sivasamy, JH Park. 
     Canadian Journal of Physics 92 (12), 2014,  1688-1695.

60. Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations. 
      X Li, X Fu, R Rakkiyappan.
      Applied Mathematics and Computation 226, 2014,  10-19.

59. Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays.
      R Rakkiyappan, N Sakthivel, S Lakshmanan. 
     Chinese Physics B 23 (2), 2013, 020205.

58. Effects of leakage time-varying delays in Markovian jump neural networks with impulse control. 
      R Rakkiyappan, A Chandrasekar, S Lakshmanan, JH Park, HY Jung. 
      Neurocomputing 121, 2013, 365-378.

57. Sampled-data state estimation for Markovian jumping fuzzy cellular neural networks with mode-dependent probabilistic time-varying delays
      R Rakkiyappan, N Sakthivel, JH Park, OM Kwon. 
      Applied Mathematics and Computation 221, 2013,  741-769.

56. Design of sampled data state estimator for Markovian jumping neural networks with leakage time-varying delays and discontinuous Lyapunov functional approach. 
      R Rakkiyappan, Q Zhu, T Radhika, 
      Nonlinear Dynamics 73 (3), 2013,  1367-1383.

55. A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays. 
      S Lakshmanan, JH Park, HY Jung, OM Kwon, R Rakkiyappan, 
      Neurocomputing 111, 2013, 81-89.

54. State estimator for neural networks with sampled data using discontinuous Lyapunov functional approach
      S Lakshmanan, JH Park, R Rakkiyappan, HY Jung
      Nonlinear dynamics 73 (1), 2013,  509-520.

53. Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with time-varying delays. 
      R Rakkiyappan, S Lakshmanan, P Balasubramaniam, 
      Circuits, systems, and signal processing 32 (3), 2013,  1147-1177.

52. Stationary oscillation of interval fuzzy cellular neural networks with mixed delays under impulsive perturbations. 
      P Balasubramaniam, M Kalpana, R Rakkiyappan
      Neural Computing and Applications 22 (7), 2013, 1645-1654.

51. Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays
      X Li, R Rakkiyappan. 
      Communications in Nonlinear Science and Numerical Simulation 18 (6), 2013, 1515-1523.

50.Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays.
     S Lakshmanan, JH Park, TH Lee, HY Jung, R Rakkiyappan
     Applied Mathematics and Computation 219 (17), 2013,  9408-9423.

49. Dynamic analysis for high-order Hopfield neural networks with leakage delay and impulsive effects.
      R Rakkiyappan, C Pradeep, A Vinodkumar, FA Rihan. 
      Neural Computing and Applications 22 (1), 2013, 55-73.

48. Stability results for Takagi–Sugeno fuzzy uncertain BAM neural networks with time delays in the leakage term. 
      X Li, R Rakkiyappan. 
      Neural Computing and Applications 22 (1), 2013, 203-219.

47. Dynamics of fuzzy impulsive bidirectional associative memory neural networks with time-varying delays
      R Rakkiyappan, X Li, D O’Regan. 
      Journal of Applied Mathematics and Computing 40 (1), 2012, 289-317.

46. Robust μ-stability analysis of Markovian switching uncertain stochastic genetic regulatory networks with unbounded time-varying delays. 
      X Li, R Rakkiyappan, C Pradeep
      Communications in Nonlinear Science and Numerical Simulation 17 (10), 2012, 3894-3905.

45. Global robust asymptotic stability analysis of uncertain switched Hopfield neural networks with time delay in the leakage term. 
      P Balasubramaniam, V Vembarasan, R Rakkiyappan. 
      Neural Computing and Applications 21 (7), 2012,1593-1616.

44. Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays. 
      P Balasubramaniam, R Krishnasamy, R Rakkiyappan. 
      Communications in Nonlinear Science and Numerical Simulation 17 (9), 2012,3612-3627.

43. Delay-dependent exponential stability results for uncertain stochastic Hopfield neural networks with interval time-varying delays
      C Pradeep, A Vinodkumar, R Rakkiyappan
      Arabian Journal of Mathematics 1 (2), 2012, 227-239.

42. LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. 
      P Balasubramaniam, S Lakshmanan, R Rakkiyappan. 
      International Journal of Applied Mathematics and Computer Science 22, 2012, 339–351.

41. Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach. 
      P Balasubramaniam, R Krishnasamy, R Rakkiyappan
      Applied Mathematical Modelling 36 (5), 2012, 2253-2261.

40. Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays. 
      P Balasubramaniam, M Kalpana, R Rakkiyappan
      Chinese Physics B 21 (4), 2012,048402.

39. Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters. 
      X Li, R Rakkiyappan. 
      Applied mathematical modelling 36 (4), 2012,1718-1730.

38. Global robust stability criteria for TS fuzzy systems with distributed delays and time delay in the leakage term. 
      S Lakshmanan, R Rakkiyappan, P Balasubramaniam.
      IRANIAN JOURNAL OF FUZZY SYSTEMS 9 (2), 2012,127-146.

37. INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY: Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with …. 
      P Balasubramaniam, M Kalpana, R Rakkiyappan, 
      Chinese Physics B 21 (4), 2012,048402.

36. Delay-dependent robust asymptotic state estimation of Takagi–Sugeno fuzzy Hopfield neural networks with mixed interval time-varying delays. 
      P Balasubramaniam, V Vembarasan, R Rakkiyappan. 
      Expert Systems with Applications 39 (1), 2012, 472-481.

35. Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays. 
      P Balasubramaniam, M Kalpana, R Rakkiyappan. 
      Circuits, Systems, and Signal Processing 30 (6), 2011, 1595-1616.

34. Robust asymptotic state estimation of Takagi–Sugeno fuzzy Markovian jumping Hopfield neural networks with mixed interval time‐varying delays. 
      X Li, R Rakkiyappan
      Mathematical methods in the applied sciences 34 (17), 2011,  2197-2207.

33. Delay-dependent global asymptotic stability criteria for genetic regulatory networks with time delays in the leakage term. 
      R Rakkiyappan, P Balasubramaniam, K Balachandran
      Physica Scripta 84 (5), 2011, 055007.

32. State estimation for fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays
      P Balasubramaniam, M Kalpana, R Rakkiyappan. 
      Computers & Mathematics with Applications 62 (10), 2011,  3959-3972.

31. Delay-interval-dependent robust stability results for uncertain stochastic systems with Markovian jumping parameters. 
      P Balasubramaniam, R Krishnasamy, R Rakkiyappan
      Nonlinear Analysis: Hybrid Systems 5 (4), 2011,  681-691.

30. Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term. 
      P Balasubramaniam, G Nagamani, R Rakkiyappan
     Communications in Nonlinear Science and Numerical Simulation 16 (11), 2011,  4422-4437.

29. Stability results for stochastic bidirectional associative memory neural networks with multiple discrete and distributed time-varying delays
      X Li, P Balasubramaniam, R Rakkiyappan, 
      International Journal of Computer Mathematics 88 (7), 2011, 1358-1372.

28. Leakage delays in T–S fuzzy cellular neural networks. 
      P Balasubramaniam, V Vembarasan, R Rakkiyappan. 
     Neural Processing Letters 33 (2), 2011, 111-136.

27. Delay-dependent robust exponential state estimation of Markovian jumping fuzzy Hopfield neural networks with mixed random time-varying delays. 
      P Balasubramaniam, V Vembarasan, R Rakkiyappan. 
      Communications in Nonlinear Science and Numerical Simulation 16 (4), 2011, 2109-2129.

26. Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. 
      P Balasubramaniam, M Kalpana, R Rakkiyappan. 
      Mathematical and Computer Modelling 53 (5-6), 2011, 839-853.

25. Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. 
      X Li, R Rakkiyappan, P Balasubramaniam.
      Journal of the Franklin Institute 348 (2), 2011, 135-155.

24. Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations. 
      R Rakkiyappan, P Balasubramaniam, R Krishnasamy
      Journal of Computational and Applied Mathematics 235 (8), 2011, 2147-2156.

23. A delay decomposition approach to fuzzy Markovian jumping genetic regulatory networks with time-varying delays. 
      P Balasubramaniam, R Sathy, R Rakkiyappan
      Fuzzy sets and systems 164 (1), 2011, 82-100.

22.Mixed convection in a lid-driven square cavity filled with nanofluids
     M Muthtamilselvan, R Rakkiyappan. 
     Nanoscience and Technology: An International Journal 2 (4), 2011, 275-294.

21. Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters. 
      P Balasubramaniam, R Rakkiyappan, R Sathy. 
      Expert Systems with Applications 38 (1), 2011, 121-130.

20. Global passivity analysis of interval neural networks with discrete and distributed delays of neutral type.
      P Balasubramaniam, G Nagamani, R Rakkiyappan. 
      Neural Processing Letters 32 (2), 2010, 109-130.

19. Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. 
      X Li, X Fu, P Balasubramaniam, R Rakkiyappan. 
      Nonlinear Analysis: Real World Applications 11 (5), 2010,  4092-4108.

18. Exponential stability results for uncertain neutral systems with interval time-varying delays and Markovian jumping parameters. 
      P Balasubramaniam, A Manivannan, R Rakkiyappan. 
      Applied Mathematics and Computation 216 (11), 2010, 3396-3407.

17. Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: an LMI approach
      R Rakkiyappan, P Balasubramaniam.
      Nonlinear Analysis: Hybrid Systems 4 (3), 2010,  600-607.

16. Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays. 
      P Balasubramaniam, R Rakkiyappan, R Krishnasamy
     Mathematical biosciences 226 (2), 2010, 97-108.

15. Global exponential stability for neutral-type BAM neural networks with time-varying delays. 
      P Balasubramaniam, R Rakkiyappan. 
      International Journal of Computer Mathematics 87 (9), 2010,  2064-2075.

14. On exponential stability results for fuzzy impulsive neural networks. 
      R Rakkiyappan, P Balasubramaniam. 
      Fuzzy Sets and Systems 161 (13), 2010, 1823-1835.

13. Global exponential stability results for neutral-type impulsive neural networks. 
      R Rakkiyappan, P Balasubramaniam, J Cao. 
      Nonlinear Analysis: Real World Applications 11 (1), 2010,  122-130.

12. Dynamic analysis of Markovian jumping impulsive stochastic Cohen–Grossberg neural networks with discrete interval and distributed time-varying delays. 
      R Rakkiyappan, P Balasubramaniam. 
      Nonlinear Analysis: Hybrid Systems 3 (4), 2009, 408-417.

11. Delay-interval dependent robust stability criteria for stochastic neural networks with linear fractional uncertainties. 
      P Balasubramaniam, S Lakshmanan, R Rakkiyappan
     Neurocomputing 72 (16-18), 2009, 3675-3682.

10. Global exponential stability results for delayed neural networks of neutral type.
      R Rakkiyappan, P Balasubramaniam.
      International Journal of Computer Mathematics 86 (9), 2009, 1591-1602.

9. Delay-dependent robust stability analysis of uncertain stochastic neural networks with discrete interval and distributed time-varying delays. 
        P Balasubramaniam, R Rakkiyappan
        Neurocomputing 72 (13-15), 2009,3231-3237.

8. Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen–Grossberg neural networks with discrete interval and distributed time-varying delays.
        P Balasubramaniam, R Rakkiyappan. 
        Nonlinear Analysis: Hybrid Systems 3 (3), 2009, 207-214.

7. LMI conditions for stability of stochastic recurrent neural networks with distributed delays. 
        R Rakkiyappan, P Balasubramaniam. 
       Chaos, Solitons & Fractals 40 (4), 2009, 1688-1696.

6. Global asymptotic stability of stochastic recurrent neural networks with multiple discrete delays and unbounded distributed delays. 
        P Balasubramaniam, R Rakkiyappan
        Applied Mathematics and Computation 204 (2), 2008, 680-686.

5. LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays. 
       R Rakkiyappan, P Balasubramaniam. 
       Applied Mathematics and Computation 204 (1), 2008,317-324.

4. Stability Results for Uncertain Stochastic High-Order Hopfield Neural Networks with Time Varying Delays. 
        P Balasubramaniam, R Rakkiyappan.
        INTECH Open Access Publisher, 2008.

3. Robust stability results for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. 
        R Rakkiyappan, P Balasubramaniam, S Lakshmanan
        Physics Letters A 372 (32), 2008, 5290-5298.

2. Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays. 
        R Rakkiyappan, P Balasubramaniam. 
        Applied Mathematics and Computation 198 (2), 2008, 526-533.

1. New global exponential stability results for neutral type neural networks with distributed time delays
        R Rakkiyappan, P Balasubramaniam. 
        Neurocomputing 71 (4-6), 2008,1039-1045.
 


 

 

 

 

 

 


 

 

 


 

 

 

 

 


 

 

 


 


 

 


 


 
     

 

 


 

 

 

National Publications - Reverse Chronological Order

Patent Info

Conference Info

Books & Chapters Related Info

Database Related Info

 

TEACHING

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

  • Algebra
  • Algebra-I
  • Algebra-II
  • Complex Analysis
  • Functional Analysis
  • Number Theory & Cryptography
  • Probability Theory
  • Nonlinear Differential Equations
  • Matlab
  • Mathematica

PROJECTS

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

Funded Projects (National Level)
Ongoing Projects List with necessary Information
S.No , Funding agency, PI/CoPI, Title, Duration, Amount sanctioned, Ph.D. produced, From - To
  1.    NBHM,  PI Stability, Robust HControl and Robust H filter Design for Time-delay Systems,  9,89,500,  1, 2012- 2015.
  2.   DST-SERB, PI Delay differential models in immunology and infectious diseases in an individual,13, 68,000/- , 1, 2014- 2017.
  3.   CSIR, Studies on qualitative properties of fractional-order and complex-valued neural networks with time delays, 13, 20,000/-, 1, 2015 -2018.

 

Consultancy Projects
Ongoing Consultancy Project Informations
Completed Consultancy Project Informations

 

RESEARCH GUIDANCE

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

Ongoing

Title

Name

Completed

Title

Name

 

Ongoing

Sl. No  Name of the candidate  Title of the Thesis    Year

1.         V. Sharmila

2.         P. Gokul

3.         K. Janani

4.        S.  Shanmugasundaram  

Completed

Sl. No  Name of the candidate  Title of the Thesis    Year

1. G. Velmurugan, Dynamical Analysis of Fractional-Order Complex-Valued Neural Networks with Time-Delays, May 2017
2. N. Sakthivel, Synchronization Analysis for Complex-Dynamical Networks with TimeVarying Delays, June 2016
3. A. Chandrasekar, Dynamic Characteristics of Neural Networks with Time-VaryingDelays, July 2017
4. R. SasiRekha, Synchronization and State Estimation Design for Discrete-Time Nonlinear Systems with Time Delays: A LMI Approach, December 2017
5.  K. Sivaranjani, Synchronization of Complex Dynamical Networks with Different Type of Controllers, February 2018
6. S. Dharani, Sampled-Data Control Design for Dynamical Analysis of Certain Partial Differential Systems, March 2018
7.  K. Maheswari, HState estimation and Hfilter design of discrete-time switched neural networks with time delays, August 2017
8.  V. PreethiLatha, Dynamic analysis of various fractional-order infectious diseases with time delay, November 2019


 

 

Ongoing

Sl. No  Name of the candidate  Title of the Dissertation  Year

1.         A.  Ajithkumar

Completed

Sl. No  Name of the candidate  Title of the Dissertation  Year

1.A. Chandrasekar, Effects of Leakage Time-Varying Delays in Markovian JumpingNeural Networks with Impulse Control, October 2012.
2.S. Revathy, Sampled-Data State Estimator for Delayed Neural Networks with TimeVarying Delays, October 2012
3.T. Radhika, Leakage Delay Derivative Dependent with Switched Exponential StateEstimation of Neural Networks Based on Passivity Theory, October 2012
4.K. Umalakshmi, Delay-Derivative Dependent Synchronization Criteria for RecurrentNeural Networks with Time-Varying Delays and Sampled-Data Control
October 2012
5.G. Revathi, Passivity Analysis of Markovian Jumping Neural Networks with LeakageTime-Varying Delay, October 2012
6.K. Sivaranjani, Stability Analysis of Memristor-Based Complex-Valued RecurrentNeural Networks with Time-Delay, September 2013
7. B. Kaviarasan, Stochastic Sampled-Data Control for Consensus of Leader-FollowingDistributed Multi-Agent Systems, September 2013
8. D. Nishanthi, Finite-time Stability and Stabilization of a Class of Nonlinear NeutralTime-Delay Systems, September 2013
9. S. Dharani, Stochastic Sampled-Data HControl for a Class of Parabolic Systemswith Time-Varying Delay, September 2013
10. G. Petchiammal, Non-Fragile Robust Synchronization for Uncertain Chaotic NeutralTypeMarkovian Jumping Neural Networks with Randomly Occurring  Uncertainties     and Mode-Dependent Time-Varying Delays, September 2013
11. V. PreethiLatha, Exponential Synchronization of Markovian Jumping Chaotic Neural Networks with Sampled Data and Saturating Actuators, September 2014
12. S. Brindha, Robust H Synchronization of Discrete-Time Chaotic Luree Systems withTime-Delays, September 2014
13. K. Subramanian, Stabilization and Synchronization Analysis for Markovian Jumping Discrete-Time Neural Networks with Mode-Dependent Probabilistic Time-VaryingDelays via Impulsive Control, September 2014
14. T.Tharani, Synchronization of Discrete-Time Switched Neural Networks with TimeDelays and Sojourn Probabilities, September 2014
15. S. Premalatha, Stability and Synchronization Analysis of Inertial Memristive NeuralNetworks with Time Delays, November 2015
16.R. Sivaranjani, Global O(t-)  Stability and Global S-Asymptotical Periodicity forFractional-Order Complex-Valued Neural Networks with Time-Varying Delays
November 2015
17. R. Kamalakkannan, Analysis of PthMoment Exponential Stability of ImpulsiveStochastic Functional Differential Equations with Levy Noise, November 2015
18.E. UdhayaKumari, Synchronization and Periodicity of Coupled Inertial MemristiveNeural Networks with Supremums, November 2015
19.C. Kannan, Finite-Time H Synchronization for Semi Markov Jump Delayed NeuralNetworks, January 2016
20. K. Udhayakumar, Stability and Hopf Bifurcation Analysis of Fractional-Order ComplexValued Neural Networks with Time Delays, November 2016
21. N. Brindha, Synchronization Of Fractional-OrderCoupled Reaction-Diffusion NeuralNetworks With Time-Varying Delay ViaPinning Controller, November 2016
22.S. Logavathy, Exponential Synchronization of Inertial Memristive Neural Networkswith Time-Varying Delays via Interval Matrix Method, November 2016
23.D. Gayathiri, Exponential Synchronization of Inertial Memristor-Based Nerual Networks with Time-Delays using Average Impulsive Interval Approach, November 2016.
24.V. Sharmila, Event-triggered Integral Sliding Mode Control of T-S Fuzzy StochasticSystems, November 2017
25.C. Sekar, Event-triggered State Estimation of Generalized Neural Networks With Timevarying Delay and Quantization, November 2017
26.L. R. Nihila, Stability of Integral Memristive Neural Networks With Time-varying Delay via Flexible Terminal Method, November 2017
27. N. Bavithra, Sampled-Data Control Design for Interval Type-2 Fuzzy Chaotic Systems via Looped LyapunovFunctionals, November 2017
28. N. Saraswathi, Time-Dependent Lyapunov Functional Approach for Leader-FollowingConsensus of Multi-Agent Systems via Sampled-Data Control, November 2017
29. V. Kowsika, Consensus of Multi-Agent systems with Hidden Markov-Model Based Sampled-Data control via Looped Lyapunov Functional Approach,  November 2018

 

Ongoing

Sample Data.

Completed

Sample Data.

INSTITUTIONAL RESPONSIBILITIES

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

ADMINISTRATIVE (BHARATHIAR UNIVERSITY)

{Library Incharge}
Period : {November 2018 - to till now}
Nature of Responsibility: Library Incharge, Departmaent of Mathematics, Bharathiar University

{Swayam Coordinator}
Period : {from Date - to Date}
Nature of Responsibility: Coordinator, Department of Mathematics, Bharathiar University

AWARDS & MEMBERSHIPS

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

Awards

Academic awards
S.No.  Awarding agency Country Purpose of award   Date of Award
  
1. Web of Science Group, Highly Cited Researcher , 2019
2. Journal of the Franklin Institute, Elsevier, Outstanding Reviewer, November 2017
3. Applied mathematics And Computation, Elsevier, Outstanding Reviewer, August 2016
4. The Academy of Sciences, Chennai, India, SaraswathySrinivasan Prize/Young Scientist Award (YSA)-2015, 2015
5. Council for Scientific and Industrial Research, New Delhi, India, CSIR-SRF, 2009-2011
6.University Grants Commission (UGC),under Special Assistance Programme (SAP) DRS-I, India, Project Fellow, 2005-2009

Membership

 

 

VISITS / COLLABORATIONS / OTHERS

Dr. R. Rakkiyappan
Assistant Professor
Research Area
  • Differential Equations, Artificial Intelligence
  • Time Delay Systems, Stability Theory
  • Cryptography, Discontinuous Control Design

0422-2428418

94864-47053

Visits

Sl No.    Countries Vistes   Duration of Visit   Month and Year   Purpose of Visit
  1.           P.R. China             2 Months                May&June,2019   Visiting Professor
  2.           P.R. China            12 days                   December, 2018   Visiting Professor
  3.           UAE                      5 days                    October, 2018        Visiting Professor
  4.           SouthKorea          1 Year                     2017-2018             Research Professor
  5.           P.R. China            5 days                    December,2017      Visiting Professor
 

Collaborators

 

Others