Stability analysis of static recurrent neural networks with interval time-varying delay

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摘要

The problem of stability analysis of static recurrent neural networks with interval time-varying delay is investigated in this paper. A new Lyapunov functional which contains some new double integral and triple integral terms are introduced. Information about the lower bound of the delay is fully used in the Lyapunov functional. Integral and double integral terms in the derivative of the Lyapunov functional are divided into some parts to get less conservative results. Some sufficient stability conditions are obtained in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

论文关键词:Delay-dependent stability,Interval time-varying delay,Static recurrent neural network,Linear matrix inequality

论文评审过程:Available online 13 July 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.06.028