Exponential stability of cellular neural networks with multiple time delays and impulsive effects
Li Dong (李 东)a, Wang Hui (王 慧)b, Yang 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; bDepartment of Mathematics, Leshan Teachers' College, Leshan 614004, China; cCollege 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.
Received: 09 May 2008
Revised: 08 June 2008
Accepted manuscript online:
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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