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Chin. Phys. B, 2008, Vol. 17(11): 4091-4099    DOI: 10.1088/1674-1056/17/11/023
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Exponential stability of cellular neural networks with multiple time delays and impulsive effects

Li Dong (李 东)a, Wang Hui (王 慧)bYang Dan (杨 丹)c, Zhang Xiao-Hong (张小洪)c, Wang Shi-Long (王时龙)d
a College of Mathematics and Physics Science, Chongqing University, Chongqing 400030, China; b Department of Mathematics, Leshan Teachers' College, Leshan 614004, China; c College of Software Engineering, Chongqing University, Chongqing 400030, China; d State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China
Abstract  In this work, the stability issues of the equilibrium points of the cellular neural networks with multiple time delays and impulsive effects are investigated. Based on the stability theory of Lyapunov--Krasovskii, the method of linear matrix inequality (LMI) and parametrized first-order model transformation, several novel conditions guaranteeing the delay-dependent and the delay-independent exponential stabilities are obtained. A numerical example is given to illustrate the effectiveness of our results.
Keywords:  cellular neural networks (CNNs)      multi-delays      exponential stability      linear matrix inequality (LMI)  
Received:  09 May 2008      Revised:  08 June 2008      Accepted manuscript online: 
PACS:  07.05.Mh (Neural networks, fuzzy logic, artificial intelligence)  
  02.10.Yn (Matrix theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 60604007 and 50775226).

Cite this article: 

Li Dong (李 东), Wang Hui (王 慧), Yang Dan (杨 丹), Zhang Xiao-Hong (张小洪), Wang Shi-Long (王时龙) Exponential stability of cellular neural networks with multiple time delays and impulsive effects 2008 Chin. Phys. B 17 4091

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