| Author Name | Affiliation | | ZHU En-wen | School of Mathematics and Computational Science,Changsha Universify of Science and Technology,Changsha 410076,China
School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China | | WANG Yong | Dept. of Mathematics,Harbin Institute of Technology,Harbin 150001,China
4. School of Mathematics,Central South University,Changsha 410075,China | | ZHANG Han-jun | School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China | | ZOU Jie-zhong | School of Mathematics,Central South University,Changsha 410075,China |
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| 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 mean-square stability. A numerical example is exploited to show the vadlidness of the established results. |
| Key words: cellular neural networks asymptotical mean-square stability random delay linear matrix inequality |
| DOI：10.11916/j.issn.1005-9113.2010.03.022 |
| Clc Number:TP183 |
| Fund: |
