Robust stability for delayed neural networks with nonlinear perturbation

  • Authors:
  • Li Xie;Tianming Liu;Jilin Liu;Weikang Gu;Stephen Wong

  • Affiliations:
  • Department of Information and Electronic Engineering, Zhejiang University, Hangzhou, P.R. China;Center for Bioinformatics, HCNR, Harvard Medical School, Boston, MA;Department of Information and Electronic Engineering, Zhejiang University, Hangzhou, P.R. China;Department of Information and Electronic Engineering, Zhejiang University, Hangzhou, P.R. China;Center for Bioinformatics, HCNR, Harvard Medical School, Boston, MA

  • Venue:
  • ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
  • Year:
  • 2005

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Abstract

The problem of analysis of robust stability for time-delayed neural networks with nonlinear perturbation has been investigated via Lyapunov stability theory. The sufficient conditions for robust stability of neural networks with time delays have been developed. The exponential stability criterion for neural networks is also derived. The result includes the information on the state convergence degree of the neural networks. The robust stable criterion in this paper is presented in terms of linear matrix inequalities.