Delay-dependent stability analysis for impulsive neural networks with time varying delays

Authors:
Shujun Long;Daoyi Xu
Affiliations:
College of Mathematics, Sichuan University, Chengdu 610064, PR China and Department of Mathematics, Leshan Teachers College, Leshan 614004, PR China;College of Mathematics, Sichuan University, Chengdu 610064, PR China
Venue:
Neurocomputing
Year:
2008

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Abstract

In this paper, the global exponential stability and global asymptotic stability of the neural networks with impulsive effect and time varying delays is investigated. By using Lyapunov-Krasovskii-type functional, the quality of negative definite matrix and Cauchy criterion, we obtain the sufficient conditions for global exponential stability and global asymptotic stability of such model, in terms of linear matrix inequality (LMI), which depend on the delays. Two examples are given to illustrate the effectiveness of our theoretical results.