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Asymptotical mean square stability of cellular neural networks with random delay
Authors:ZHU En-wen  WANG Yong  ZHANG Han-jun and ZOU Jie-zhong
Affiliation:1. School of Mathematics and Computational Science,Changsha University of Science and Technology,Changsha 410076,China;School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China
2. Dept.of Mathematics,Harbin Institute of Technology,Harbin 150001,China
3. School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China
4. School of Mathematics,Central South University,Changsha 410075,China
Abstract:In this paper,the asymptotical mean-square stability analysis problem is considered for a class of cellular neural networks(CNNs)with random delay.Compared with the previous work,the delay is modeled by a continuous-time homogeneous Markov process with a finite number of states.The main purpose of this paper is to establish easily verifiable conditions under which the random delayed cellular neural network is asymptotic mean-square stability.By using some stochastic analysis techniques and Lyapunov-Krasovskii functional,some conditions are derived to ensure that the cellular neural networks with random delay is asymptotical meansquare stability.A numerical example is exploited to show the vadlidness of the established results.
Keywords:cellular neural networks  asymptotical mean-square stability  random delay  linear matrix inequality
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