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
|
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
|
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
|
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
|
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
|
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 stochastic distributed implicit functional differential systems with infinite delay. Zbl 1176.93013
Balasubramaniam, P.; Muthukumar, P. |
|
2009
|
Numerical solution of fractional delay differential equation by shifted Jacobi polynomials. Zbl 1388.34070
Muthukumar, P.; Priya, B. Ganesh |
|
2017
|
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
|
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 fractional order neutral stochastic integro-differential system with nonlocal conditions and infinite delay. Zbl 1282.34080
Muthukumar, P.; Rajivganthi, C. |
|
2013
|
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 second-order damped McKean-Vlasov stochastic evolution equations. Zbl 1207.93012
Muthukumar, P.; Balasubramaniam, P. |
|
2010
|
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
|
Approximate controllability of mixed stochastic Volterra-Fredholm type integrodifferential systems in Hilbert space. Zbl 1254.93028
Muthukumar, P.; Balasubramaniam, P. |
|
2011
|
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
|
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
|
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
|
Almost automorphic solutions for fractional stochastic differential equations and its optimal control. Zbl 1343.93101
Rajivganthi, C.; Muthukumar, P. |
|
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
|
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
|
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 nonlinear stochastic evolution systems with time-varying delays. Zbl 1298.93070
Muthukumar, P.; Balasubramaniam, P. |
|
2009
|
Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential. Zbl 07907160
Durga, N.; Muthukumar, P. |
|
2020
|
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
|
Approximate controllability for semi-linear retarded stochastic systems in Hilbert spaces. Zbl 1165.93012
Muthukumar, P.; Balasubramaniam, P. |
|
2009
|
Approximate controllability of stochastic nonlinear third-orderdispersion equation. Zbl 1284.93042
Muthukumar, P.; Rajivganthi, C. |
|
2014
|
Infinite horizon optimal control of forward-backward stochastic system driven by Teugels martingales with Lévy processes. Zbl 1360.49002
Muthukumar, P.; Deepa, R. |
|
2017
|
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
|
Stochastic time-optimal control for time-fractional Ginzburg-Landau equation with mixed fractional Brownian motion. Zbl 1479.35833
Durga, N.; Muthukumar, P.; Fu, Xianlong |
|
2021
|
Beurling type invariant subspaces of composition operators. Zbl 1516.47047
Bose, Snehasish; Muthukumar, P.; Sarkar, Jaydeb |
|
2021
|
Detecting chaos in a system of four disk dynamos and its control. Zbl 1353.93050
Muthukumar, P.; Balasubramaniam, P.; Ratnavelu, K. |
|
2016
|
Optimal control of fractional reaction-diffusion equations with Poisson jumps. Zbl 1412.35178
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 1540.34118
Durga, N.; Muthukumar, P. |
|
2019
|
Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults. Zbl 1510.93182
Visakamoorthi, B.; Subramanian, K.; Muthukumar, P. |
|
2022
|
Transient chaos, synchronization and digital image enhancement technique based on a novel 5D fractional-order hyperchaotic memristive system. Zbl 1509.94005
Khan, Nasreen; Muthukumar, P. |
|
2022
|
Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach. Zbl 1490.93014
Anukiruthika, K.; Durga, N.; Muthukumar, P. |
|
2021
|
Robust reliable \(H_\infty\) control design for networked control systems with nonlinear actuator faults and randomly missing measurements. Zbl 1426.93078
Arunagirinathan, S.; Muthukumar, P.; Joo, Y. H. |
|
2019
|
Approximate controllability of fractional order stochastic variational inequalities driven by Poisson jumps. Zbl 1357.34102
Muthukumar, P.; Rajivganthi, C. |
|
2014
|
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
|
Infinite horizon optimal control of mean-field delay system with semi-Markov modulated jump-diffusion processes. Zbl 1414.35268
Deepa, R.; Muthukumar, P. |
|
2019
|
Exponential stability of non-linear neutral stochastic delay differential system with generalized delay-dependent impulsive points. Zbl 1465.93177
Kaviya, R.; Muthukumar, P. |
|
2021
|
Approximate controllability of fractional stochastic integral equation with finite delays in Hilbert spaces. Zbl 1494.93015
Ganthi, C. Rajiv; Muthukumar, P. |
|
2012
|
Reliable \(\mathcal{H}_{\infty}\) controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults. Zbl 1415.93212
Arunagirinathan, S.; Muthukumar, P. |
|
2019
|
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
|
Detecting critical point of fractional-order chemical system with synchronization and application to image enhancement technique. Zbl 1490.92133
Muthukumar, P.; Ramesh Babu, N.; Balasubramaniam, P. |
|
2021
|
Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults. Zbl 1540.93076
Visakamoorthi, B.; Muthukumar, P. |
|
2022
|
Practical consensus for heterogeneous multi-agent systems with gain fluctuations via resilient sampled-data control. Zbl 1516.93244
Visakamoorthi, B.; Yu, Samson Shenglong; Subramanian, K.; Muthukumar, P.; Chadli, Mohammed; Trinh, Hieu |
|
2023
|
Mean-field, infinite horizon, optimal control of nonlinear stochastic delay system governed by Teugels martingales associated with Lévy processes. Zbl 1419.49008
Muthukumar, P.; Deepa, R. |
|
2019
|
Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model. Zbl 1504.34207
Kaviya, R.; Priyanka, M.; Muthukumar, P. |
|
2022
|
Nonfragile sampled-data \(H_\infty\) control design for high-speed train with parametric uncertainties. Zbl 1525.93071
Subramanian, K.; Muthukumar, P.; Trinh, Hieu |
|
2021
|
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion. Zbl 1534.60070
Durga, N.; Muthukumar, P.; Malik, Muslim |
|
2023
|
Stability and bifurcation analysis of two-species prey-predator model incorporating external factors. Zbl 1503.92058
Priyanka, M.; Muthukumar, P.; Bhalekar, Sachin |
|
2022
|
Practical consensus for heterogeneous multi-agent systems with gain fluctuations via resilient sampled-data control. Zbl 1516.93244
Visakamoorthi, B.; Yu, Samson Shenglong; Subramanian, K.; Muthukumar, P.; Chadli, Mohammed; Trinh, Hieu |
|
2023
|
Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion. Zbl 1534.60070
Durga, N.; Muthukumar, P.; Malik, Muslim |
|
2023
|
Hidden Markov model based non-fragile sampled-data control design for mode-dependent fuzzy systems with actuator faults. Zbl 1510.93182
Visakamoorthi, B.; Subramanian, K.; Muthukumar, P. |
|
2022
|
Transient chaos, synchronization and digital image enhancement technique based on a novel 5D fractional-order hyperchaotic memristive system. Zbl 1509.94005
Khan, Nasreen; Muthukumar, P. |
|
2022
|
Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults. Zbl 1540.93076
Visakamoorthi, B.; Muthukumar, P. |
|
2022
|
Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model. Zbl 1504.34207
Kaviya, R.; Priyanka, M.; Muthukumar, P. |
|
2022
|
Stability and bifurcation analysis of two-species prey-predator model incorporating external factors. Zbl 1503.92058
Priyanka, M.; Muthukumar, P.; Bhalekar, Sachin |
|
2022
|
Stochastic time-optimal control for time-fractional Ginzburg-Landau equation with mixed fractional Brownian motion. Zbl 1479.35833
Durga, N.; Muthukumar, P.; Fu, Xianlong |
|
2021
|
Beurling type invariant subspaces of composition operators. Zbl 1516.47047
Bose, Snehasish; Muthukumar, P.; Sarkar, Jaydeb |
|
2021
|
Approximate controllability of semilinear retarded stochastic differential system with non-instantaneous impulses: Fredholm theory approach. Zbl 1490.93014
Anukiruthika, K.; Durga, N.; Muthukumar, P. |
|
2021
|
Exponential stability of non-linear neutral stochastic delay differential system with generalized delay-dependent impulsive points. Zbl 1465.93177
Kaviya, R.; Muthukumar, P. |
|
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
|
Detecting critical point of fractional-order chemical system with synchronization and application to image enhancement technique. Zbl 1490.92133
Muthukumar, P.; Ramesh Babu, N.; Balasubramaniam, P. |
|
2021
|
Nonfragile sampled-data \(H_\infty\) control design for high-speed train with parametric uncertainties. Zbl 1525.93071
Subramanian, K.; Muthukumar, P.; Trinh, Hieu |
|
2021
|
Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential. Zbl 07907160
Durga, N.; Muthukumar, P. |
|
2020
|
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
|
Optimal control of fractional reaction-diffusion equations with Poisson jumps. Zbl 1412.35178
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 1540.34118
Durga, N.; Muthukumar, P. |
|
2019
|
Robust reliable \(H_\infty\) control design for networked control systems with nonlinear actuator faults and randomly missing measurements. Zbl 1426.93078
Arunagirinathan, S.; Muthukumar, P.; Joo, Y. H. |
|
2019
|
Infinite horizon optimal control of mean-field delay system with semi-Markov modulated jump-diffusion processes. Zbl 1414.35268
Deepa, R.; Muthukumar, P. |
|
2019
|
Reliable \(\mathcal{H}_{\infty}\) controller for uncertain networked control systems with additive time-varying delays and nonlinear actuator faults. Zbl 1415.93212
Arunagirinathan, S.; Muthukumar, P. |
|
2019
|
Mean-field, infinite horizon, optimal control of nonlinear stochastic delay system governed by Teugels martingales associated with Lévy processes. Zbl 1419.49008
Muthukumar, P.; Deepa, R. |
|
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
|
Numerical solution of fractional delay differential equation by shifted Jacobi polynomials. Zbl 1388.34070
Muthukumar, P.; Priya, B. Ganesh |
|
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
|
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
|
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 fractional stochastic integro-differential equations with infinite delay of order \(1< \alpha <2\). Zbl 1397.93028
Rajivganthi, C.; Muthukumar, P.; Ganesh Priya, B. |
|
2016
|
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
|
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
|
Almost automorphic solutions for fractional stochastic differential equations and its optimal control. Zbl 1343.93101
Rajivganthi, C.; Muthukumar, P. |
|
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
|
Approximate controllability of stochastic nonlinear third-orderdispersion equation. Zbl 1284.93042
Muthukumar, P.; Rajivganthi, C. |
|
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 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 fractional stochastic integral equation with finite delays in Hilbert spaces. Zbl 1494.93015
Ganthi, C. Rajiv; Muthukumar, P. |
|
2012
|
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
|