中国物理B ›› 2008, Vol. 17 ›› Issue (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

李 东1, 杨 丹2, 张小洪2, 王 慧3, 王时龙4   

  1. (1)College of Mathematics and Physics Science, Chongqing University, Chongqing 400030, China; (2)College of Software Engineering, Chongqing University, Chongqing 400030, China; (3)Department of Mathematics, Leshan Teachers' College, Leshan 614004, China; (4)State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China
  • 收稿日期:2008-05-09 修回日期:2008-06-08 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60604007 and 50775226).

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   

  1. 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
  • Received:2008-05-09 Revised:2008-06-08 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60604007 and 50775226).

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摘要： 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.

关键词: cellular neural networks (CNNs), multi-delays, exponential stability, linear matrix inequality (LMI)

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.

Key words: cellular neural networks (CNNs), multi-delays, exponential stability, linear matrix inequality (LMI)

中图分类号:  (Neural networks, fuzzy logic, artificial intelligence)

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02.10.Yn (Matrix theory)