Global Exponential Stability and Periodic Solutions of Delayed Cellular Neural Networks

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摘要

In this paper, the problems of global exponential stability and periodic solutions for a class of delayed cellular neural networks are analyzed via the method of constructing suitable Lyapunov functionals. Some simple sufficient conditions are given for global exponential stability and the existence of periodic solutions. These conditions can be used to design globally stable networks, and they are easy to check and apply in practice.

论文关键词:cellular neural networks,Lyapunov functional,global exponential stability,periodic solution

论文评审过程:Received 4 September 1998, Revised 4 June 1999, Available online 25 May 2002.

论文官网地址:https://doi.org/10.1006/jcss.1999.1658