The SMC approach to global synchronization of the cellular neural networks with multi-delays and distributed delays

  • Authors:
  • Guoliang Cai;Qin Yao;Xianbin Wu

  • Affiliations:
  • Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu, China;Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu, China;Junior College, Zhejiang Wanli University, Ningbo, Zhejiang, China

  • 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 further to investigate the global synchronization of the cellular neural networks with both multi-delays and distributed delays. Based on the Lyapunov stability theorem, by using the LMI technique and designing a sliding mode control (SMC) approach, a less conservative yet sufficient condition is derived to guarantee the global stability of the error system with both delay-independent and delay-dependent situations. The feasible SMC law is designed such that the trajectory of the error system is globally driven onto the specified sliding surface. The global synchronization is obtained at last.