Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays

This study deals with the problem of exponential synchronization and state estimation for singularly perturbed complex networks (SPCNs) with coupling delay under sampled-data control technique. Every node of the SPCNs involve both ‘fast’ and ‘slow’ dynamics that reveals the singular perturbation behavior. By constructing novel Lyapunov functional and by using Kronecker product, some adequate conditions which assure the exponential synchronization are attained in the form of linear matrix inequalities. Moreover, the exponential state estimation problem for the SPCNs are also considered and the state estimator is designed. Lastly, numerical simulations are presented to validate the advantage of the propound theoretical results.

[1]  Ju H. Park,et al.  Exponential synchronization criteria for Markovian jumping neural networks with time-varying delays and sampled-data control , 2014 .

[2]  Emilia Fridman.  Effects of small delays on stability of singularly perturbed systems , 2002, Autom..

[3]  Fuad E. Alsaadi,et al.  An Integrated Approach to Global Synchronization and State Estimation for Nonlinear Singularly Perturbed Complex Networks , 2015, IEEE Transactions on Cybernetics.

[4]  Mei Fang,et al.  Synchronization for complex dynamical networks with time delay and discrete-time information , 2015, Appl. Math. Comput..

[5]  Huisheng Shu,et al.  Robust state estimation for discrete-time neural networks with mixed time-delays, linear fractional uncertainties and successive packet dropouts , 2014, Neurocomputing.

[6]  Hongjie Li,et al.  Sampled-data state estimation for complex dynamical networks with time-varying delay and stochastic sampling , 2014, Neurocomputing.

[7]  Tae H. Lee,et al.  Synchronization of complex dynamical networks with discontinuous coupling signals , 2014, Nonlinear Dynamics.

[8]  Jinde Cao,et al.  Synchronization of complex dynamical networks with discrete time delays on time scales , 2015, Neurocomputing.

[9]  Yongqing Yang,et al.  On sampled-data control for stabilization of genetic regulatory networks with leakage delays , 2015, Neurocomputing.

[10]  Yuhua Xu,et al.  Synchronization of time varying delayed complex networks via impulsive control , 2014 .

[11]  Huaguang Zhang,et al.  Synchronization in complex dynamical networks based on the feedback of scalar signals , 2012, Neural Computing and Applications.

[12]  Qingling Zhang,et al.  Exponential synchronisation of united complex dynamical networks with multi-links via adaptive periodically intermittent control , 2013 .

[13]  Rathinasamy Sakthivel,et al.  Robust reliable sampled-data control for offshore steel jacket platforms with nonlinear perturbations , 2014 .

[14]  Jong-Tae Lim,et al.  Exponential stability of singularly perturbed systems with time delay and uncertainties , 2015, Int. J. Syst. Sci..

[15]  Jing Xu,et al.  Synchronization for linear singularly perturbed complex networks with coupling delays , 2015, Int. J. Gen. Syst..

[16]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..

[17]  Yuanyuan Huang,et al.  Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks , 2015, Appl. Math. Comput..

[18]  Shengyuan Xu,et al.  Global Exponential Adaptive Synchronization of Complex Dynamical Networks With Neutral-Type Neural Network Nodes and Stochastic Disturbances , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Hongjie Li,et al.  H∞ cluster synchronization and state estimation for complex dynamical networks with mixed time delays , 2013 .

[20]  Shouming Zhong,et al.  State estimation for neural networks with multiple time delays , 2015, Neurocomputing.

[21]  Qintao Gan,et al.  Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control , 2012, J. Frankl. Inst..

[22]  Jinde Cao,et al.  Stochastic sampled-data stabilization of neural-network-based control systems , 2015 .

[23]  K. Mathiyalagan,et al.  Sampled-data state estimation for genetic regulatory networks with time-varying delays , 2015, Neurocomputing.

[24]  Quanxin Zhu,et al.  Synchronization of reaction–diffusion neural networks with time-varying delays via stochastic sampled-data controller , 2014, Nonlinear Dynamics.

[25]  Xiaoming Xu,et al.  Synchronisation analysis and impulsive control of complex networks with coupling delays , 2009 .

[26]  Ju H. Park,et al.  Synchronization of discrete-time complex dynamical networks with interval time-varying delays via non-fragile controller with randomly occurring perturbation , 2014, J. Frankl. Inst..

[27]  R. Rakkiyappan,et al.  Robust stochastic sampled-data control for offshore steel jacket platforms with non-linear perturbations , 2017, IMA J. Math. Control. Inf..