## Muthukumar, Palanisamy

Compute Distance To:
 Author ID: muthukumar.palanisamy Published as: Muthukumar, P.; Muthukumar, Palanisamy External Links: ORCID
 Documents Indexed: 44 Publications since 2009 1 Contribution as Editor Co-Authors: 10 Co-Authors with 34 Joint Publications 231 Co-Co-Authors
all top 5

### Co-Authors

 0 single-authored 16 Balasubramaniam, Pagavathigounder 10 Rajivganthi, Chinnathambi 7 Durga, Nagarajan 4 Deepa, R. Acharya 3 Priya, B. Ganesh 3 Thiagu, Krishnan 2 Arunagirinathan, S. 2 Rihan, Fathalla A. 1 Anukiruthika, K. 1 Fu, Xianlong 1 George, Raju K. 1 Hafayed, Mokhtar 1 Joo, Y. H. 1 Kaviya, R. 1 Park, Jong Yeoul 1 Shah, Vishant 1 Sharma, Jaita Pankaj 1 Uthayakumar, Ramasamy 1 Visakamoorthi, B.
all top 5

### Serials

 6 Nonlinear Dynamics 4 Journal of the Franklin Institute 4 Optimal Control Applications & Methods 4 The Journal of Analysis 3 IMA Journal of Mathematical Control and Information 3 Taiwanese Journal of Mathematics 2 Mathematics and Computers in Simulation 2 Stochastic Analysis and Applications 2 International Journal of Robust and Nonlinear Control 1 Computers & Mathematics with Applications 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Bulletin of the Iranian Mathematical Society 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Journal of the Egyptian Mathematical Society 1 Differential Equations and Dynamical Systems 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Journal of Dynamical and Control Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Stochastics and Dynamics 1 Journal of Control Theory and Applications 1 Communications in Mathematics and Statistics
all top 5

### Fields

 37 Systems theory; control (93-XX) 20 Ordinary differential equations (34-XX) 19 Probability theory and stochastic processes (60-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Partial differential equations (35-XX) 6 Operator theory (47-XX) 6 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 387 times in 249 Documents Cited by Year
Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography. Zbl 1284.34065
Muthukumar, P.; Balasubramaniam, P.
2013
Synchronization of a novel fractional order stretch-twist-fold (STF) flow chaotic system and its application to a new authenticated encryption scheme (AES). Zbl 1331.37044
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2014
Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system. Zbl 1345.93071
Balasubramaniam, P.; Muthukumar, P.; Ratnavelu, K.
2015
Approximate controllability of neutral stochastic functional differential systems with infinite delay. Zbl 1186.93014
Balasubramaniam, P.; Park, J. Y.; Muthukumar, P.
2010
Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB). Zbl 1345.93078
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2015
Existence of solutions and approximate controllability of fractional nonlocal neutral impulsive stochastic differential equations of order $$1<q<2$$ with infinite delay and Poisson jumps. Zbl 1370.34136
Muthukumar, P.; Thiagu, K.
2017
Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay. Zbl 1176.93013
Balasubramaniam, P.; Muthukumar, P.
2009
Synchronization and an application of a novel fractional order King Cobra chaotic system. Zbl 1374.34015
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2014
Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps. Zbl 1363.34272
Rajivganthi, Chinnathambi; Thiagu, Krishnan; Muthukumar, Palanisamy; Balasubramaniam, Pagavathigounder
2015
Approximate controllability of fractional order neutral stochastic integro-differential system with nonlocal conditions and infinite delay. Zbl 1282.34080
Muthukumar, P.; Rajivganthi, C.
2013
Fractional stochastic differential equations with Hilfer fractional derivative: Poisson jumps and optimal control. Zbl 1372.34123
Rihan, Fathalla A.; Rajivganthi, Chinnathambi; Muthukumar, Palanisamy
2017
Approximate controllability of second-order damped McKean-Vlasov stochastic evolution equations. Zbl 1207.93012
Muthukumar, P.; Balasubramaniam, P.
2010
Approximate controllability of mixed stochastic Volterra-Fredholm type integrodifferential systems in Hilbert space. Zbl 1254.93028
Muthukumar, P.; Balasubramaniam, P.
2011
Numerical solution of fractional delay differential equation by shifted Jacobi polynomials. Zbl 1388.34070
Muthukumar, P.; Priya, B. Ganesh
2017
Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays. Zbl 1347.93222
Muthukumar, P.; Subramanian, K.; Lakshmanan, S.
2016
Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order $$1< \alpha <2$$. Zbl 1397.93028
Rajivganthi, C.; Muthukumar, P.; Ganesh Priya, B.
2016
Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order $$1<q\leq 2$$ with infinite delay and Poisson jumps. Zbl 1384.34087
Muthukumar, P.; Thiagu, K.
2018
T-S fuzzy predictive control for fractional order dynamical systems and its applications. Zbl 1349.93250
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2016
Approximate controllability of nonlinear stochastic evolution systems with time-varying delays. Zbl 1298.93070
Muthukumar, P.; Balasubramaniam, P.
2009
Almost automorphic solutions for fractional stochastic differential equations and its optimal control. Zbl 1343.93101
Rajivganthi, C.; Muthukumar, P.
2016
Approximate controllability for semi-linear retarded stochastic systems in Hilbert spaces. Zbl 1165.93012
Muthukumar, P.; Balasubramaniam, P.
2009
Successive approximation and optimal controls on fractional neutral stochastic differential equations with Poisson jumps. Zbl 1343.93102
Rajivganthi, C.; Muthukumar, P.; Priya, B. Ganesh
2016
State feedback synchronization control of impulsive neural networks with mixed delays and linear fractional uncertainties. Zbl 1426.34104
Subramanian, K.; Muthukumar, P.; Lakshmanan, S.
2018
Approximate controllability of impulsive neutral stochastic functional differential systems with state-dependent delay in Hilbert spaces. Zbl 1299.93036
Muthukumar, P.; Rajivganthi, C.
2013
Synchronization of chaotic systems using feedback controller: an application to Diffie-Hellman key exchange protocol and elgamal public key cryptosystem. Zbl 1306.34091
Balasubramaniam, P.; Muthukumar, P.
2014
Approximate controllability of stochastic nonlinear third-orderdispersion equation. Zbl 1284.93042
Muthukumar, P.; Rajivganthi, C.
2014
Approximate controllability of fractional order stochastic variational inequalities driven by Poisson jumps. Zbl 1357.34102
Muthukumar, P.; Rajivganthi, C.
2014
Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps. Zbl 1391.49017
Muthukumar, Palanisamy; Durga, Nagarajan; Rihan, Fathalla A.; Rajivganthi, Chinnathambi
2017
Infinite horizon optimal control of forward-backward stochastic system driven by Teugels martingales with Lévy processes. Zbl 1360.49002
Muthukumar, P.; Deepa, R.
2017
Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay. Zbl 1425.93300
Durga, N.; Muthukumar, P.
2019
Detecting chaos in a system of four disk dynamos and its control. Zbl 1353.93050
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2016
Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke’s subdifferential type. Zbl 07316563
Durga, N.; Muthukumar, P.
2019
Optimal control of fractional reaction-diffusion equations with Poisson jumps. Zbl 1412.35178
Durga, N.; Muthukumar, P.
2019
Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation. Zbl 1461.34029
Shah, Vishant; George, Raju K.; Sharma, Jaita; Muthukumar, P.
2018
Optimal control of nonzero sum game mean-field delayed Markov regime-switching forward-backward system with Lévy processes. Zbl 1469.93113
Deepa, R.; Muthukumar, P.; Hafayed, Mokhtar
2021
Optimal control of nonzero sum game mean-field delayed Markov regime-switching forward-backward system with Lévy processes. Zbl 1469.93113
Deepa, R.; Muthukumar, P.; Hafayed, Mokhtar
2021
Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay. Zbl 1425.93300
Durga, N.; Muthukumar, P.
2019
Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke’s subdifferential type. Zbl 07316563
Durga, N.; Muthukumar, P.
2019
Optimal control of fractional reaction-diffusion equations with Poisson jumps. Zbl 1412.35178
Durga, N.; Muthukumar, P.
2019
Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order $$1<q\leq 2$$ with infinite delay and Poisson jumps. Zbl 1384.34087
Muthukumar, P.; Thiagu, K.
2018
State feedback synchronization control of impulsive neural networks with mixed delays and linear fractional uncertainties. Zbl 1426.34104
Subramanian, K.; Muthukumar, P.; Lakshmanan, S.
2018
Existence and uniqueness of classical and mild solutions of generalized impulsive evolution equation. Zbl 1461.34029
Shah, Vishant; George, Raju K.; Sharma, Jaita; Muthukumar, P.
2018
Existence of solutions and approximate controllability of fractional nonlocal neutral impulsive stochastic differential equations of order $$1<q<2$$ with infinite delay and Poisson jumps. Zbl 1370.34136
Muthukumar, P.; Thiagu, K.
2017
Fractional stochastic differential equations with Hilfer fractional derivative: Poisson jumps and optimal control. Zbl 1372.34123
Rihan, Fathalla A.; Rajivganthi, Chinnathambi; Muthukumar, Palanisamy
2017
Numerical solution of fractional delay differential equation by shifted Jacobi polynomials. Zbl 1388.34070
Muthukumar, P.; Priya, B. Ganesh
2017
Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps. Zbl 1391.49017
Muthukumar, Palanisamy; Durga, Nagarajan; Rihan, Fathalla A.; Rajivganthi, Chinnathambi
2017
Infinite horizon optimal control of forward-backward stochastic system driven by Teugels martingales with Lévy processes. Zbl 1360.49002
Muthukumar, P.; Deepa, R.
2017
Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays. Zbl 1347.93222
Muthukumar, P.; Subramanian, K.; Lakshmanan, S.
2016
Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order $$1< \alpha <2$$. Zbl 1397.93028
Rajivganthi, C.; Muthukumar, P.; Ganesh Priya, B.
2016
T-S fuzzy predictive control for fractional order dynamical systems and its applications. Zbl 1349.93250
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2016
Almost automorphic solutions for fractional stochastic differential equations and its optimal control. Zbl 1343.93101
Rajivganthi, C.; Muthukumar, P.
2016
Successive approximation and optimal controls on fractional neutral stochastic differential equations with Poisson jumps. Zbl 1343.93102
Rajivganthi, C.; Muthukumar, P.; Priya, B. Ganesh
2016
Detecting chaos in a system of four disk dynamos and its control. Zbl 1353.93050
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2016
Theoretical and practical applications of fuzzy fractional integral sliding mode control for fractional-order dynamical system. Zbl 1345.93071
Balasubramaniam, P.; Muthukumar, P.; Ratnavelu, K.
2015
Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB). Zbl 1345.93078
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2015
Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps. Zbl 1363.34272
Rajivganthi, Chinnathambi; Thiagu, Krishnan; Muthukumar, Palanisamy; Balasubramaniam, Pagavathigounder
2015
Synchronization of a novel fractional order stretch-twist-fold (STF) flow chaotic system and its application to a new authenticated encryption scheme (AES). Zbl 1331.37044
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2014
Synchronization and an application of a novel fractional order King Cobra chaotic system. Zbl 1374.34015
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K.
2014
Synchronization of chaotic systems using feedback controller: an application to Diffie-Hellman key exchange protocol and elgamal public key cryptosystem. Zbl 1306.34091
Balasubramaniam, P.; Muthukumar, P.
2014
Approximate controllability of stochastic nonlinear third-orderdispersion equation. Zbl 1284.93042
Muthukumar, P.; Rajivganthi, C.
2014
Approximate controllability of fractional order stochastic variational inequalities driven by Poisson jumps. Zbl 1357.34102
Muthukumar, P.; Rajivganthi, C.
2014
Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography. Zbl 1284.34065
Muthukumar, P.; Balasubramaniam, P.
2013
Approximate controllability of fractional order neutral stochastic integro-differential system with nonlocal conditions and infinite delay. Zbl 1282.34080
Muthukumar, P.; Rajivganthi, C.
2013
Approximate controllability of impulsive neutral stochastic functional differential systems with state-dependent delay in Hilbert spaces. Zbl 1299.93036
Muthukumar, P.; Rajivganthi, C.
2013
Approximate controllability of mixed stochastic Volterra-Fredholm type integrodifferential systems in Hilbert space. Zbl 1254.93028
Muthukumar, P.; Balasubramaniam, P.
2011
Approximate controllability of neutral stochastic functional differential systems with infinite delay. Zbl 1186.93014
Balasubramaniam, P.; Park, J. Y.; Muthukumar, P.
2010
Approximate controllability of second-order damped McKean-Vlasov stochastic evolution equations. Zbl 1207.93012
Muthukumar, P.; Balasubramaniam, P.
2010
Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay. Zbl 1176.93013
Balasubramaniam, P.; Muthukumar, P.
2009
Approximate controllability of nonlinear stochastic evolution systems with time-varying delays. Zbl 1298.93070
Muthukumar, P.; Balasubramaniam, P.
2009
Approximate controllability for semi-linear retarded stochastic systems in Hilbert spaces. Zbl 1165.93012
Muthukumar, P.; Balasubramaniam, P.
2009
all top 5

### Cited by 407 Authors

 23 Nonlinear Dynamics 17 Chaos, Solitons and Fractals 17 Advances in Difference Equations 12 Stochastic Analysis and Applications 8 Journal of the Franklin Institute 8 Complexity 6 Differential Equations and Dynamical Systems 5 International Journal of Control 5 Applied Mathematics and Computation 5 Applied Numerical Mathematics 5 Journal of Dynamical and Control Systems 4 Applicable Analysis 4 Filomat 4 Mathematical Problems in Engineering 3 Computers & Mathematics with Applications 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 Numerical Functional Analysis and Optimization 3 Bulletin of the Iranian Mathematical Society 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 AIMS Mathematics 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Optimization 2 Results in Mathematics 2 Optimal Control Applications & Methods 2 Systems & Control Letters 2 Bulletin of the Korean Mathematical Society 2 Applied Mathematical Modelling 2 International Journal of Robust and Nonlinear Control 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Inequalities and Applications 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Modelling and Control 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Stochastics and Dynamics 2 Stochastics 2 Journal of Nonlinear Science and Applications 2 Journal of Control Science and Engineering 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Physica A 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Collectanea Mathematica 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Applications of Mathematics 1 The Journal of Analysis 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Qualitative Theory of Dynamical Systems 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Iranian Journal of Fuzzy Systems 1 Journal of Control Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal 1 Asian Journal of Control 1 S$$\vec{\text{e}}$$MA Journal 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Mathematical Sciences 1 Evolution Equations and Control Theory 1 Journal of Mathematics 1 Journal of Applied Nonlinear Dynamics 1 Journal of Function Spaces 1 Chinese Journal of Mathematics 1 Open Mathematics 1 Cogent Mathematics 1 Electronic Research Archive