Quasi-synchronization of delayed coupled networks with non-identical discontinuous nodes

Authors:
Xiaoyang Liu;Wenwu Yu
Affiliations:
School of Computer Science & Technology, Jiangsu Normal University, Xuzhou, China;Department of Mathematics, Southeast University, Nanjing, China,School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, Australia
Venue:
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Year:
2012

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Abstract

This paper is concerned with the quasi-synchronization issue of linearly coupled networks with discontinuous nonlinear functions in each isolated node. Under the framework of Filippov systems, the existence and boundedness of solutions for such complex networks can be guaranteed by the matrix measure approach. A design method is presented for the synchronization controllers of coupled networks with non-identical discontinuous systems. Numerical simulations on the coupled chaotic systems are given to demonstrate the effectiveness of the theoretical results.