Robust synchronisation of uncertain chaotic neural networks with time-varying delay via stochastic sampled-data controller

This paper addresses the robust synchronization problem for chaotic neural networks with time-varying delay and parameter uncertainties. For simplicity, assuming two different sampling intervals whose happening probabilities satisfy Bernoulli distribution and are known constants. The sampling system is changed into a continuous system by employing an input delay scheme. Sufficient conditions for the robust mean-square synchronization are proved by constructing a proper Lyapunov functional. In addition, it is easily to validated the obtained results for their feasibility via MATLAB and other tool boxes. One simulation example is applied to show the effectiveness of proposed results.

[1]  Pin-Lin Liu,et al.  DELAY-DEPENDENT ROBUST STABILITY ANALYSIS FOR RECURRENT NEURAL NETWORKS WITH TIME-VARYING DELAY , 2013 .

[2]  Huijun Gao,et al.  Stabilization of Networked Control Systems With a New Delay Characterization , 2008, IEEE Transactions on Automatic Control.

[3]  Francisco Sandoval Hernández,et al.  Dynamical Analysis of Continuous Higher-Order Hopfield Networks for Combinatorial Optimization , 2005, Neural Computation.

[4]  Zhang Qing-ling,et al.  Stochastic stability of networked control systems with time-varying sampling periods , 2009 .

[5]  Zengyun Wang,et al.  Robust decentralized adaptive control for a class of uncertain neural networks with time-varying delays , 2010, Appl. Math. Comput..

[6]  Ju H. Park,et al.  Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control , 2013, Int. J. Control.

[7]  Xiaohua Xia,et al.  Adaptive Synchronization for Generalized Lorenz Systems , 2008, IEEE Transactions on Automatic Control.

[8]  M. Haeri,et al.  Synchronization of chaotic fractional-order systems via active sliding mode controller , 2008 .

[9]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[10]  Jinde Cao,et al.  Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays , 2015, Neural Networks.

[11]  Kok Lay Teo,et al.  Global exponential stability of impulsive discrete-time neural networks with time-varying delays , 2010, Appl. Math. Comput..

[12]  M. Yassen Controlling, synchronization and tracking chaotic Liu system using active backstepping design , 2007 .

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

[14]  T. Su,et al.  Delay-dependent stability analysis for recurrent neural networks with time-varying delay , 2008 .

[15]  Wilfrid Perruquetti,et al.  Finite-Time Observers: Application to Secure Communication , 2008, IEEE Transactions on Automatic Control.

[16]  Huijun Gao,et al.  Robust sampled-data H∞ control with stochastic sampling , 2009, Autom..

[17]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[18]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[19]  Huijun Gao,et al.  Novel Robust Stability Criteria for Stochastic Hopfield Neural Networks With Time Delays , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[20]  Andrzej Cichocki,et al.  Neural networks for optimization and signal processing , 1993 .

[21]  Peng Shi,et al.  Sampled-Data Synchronization of Chaotic Lur'e Systems With Time Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[22]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .