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Exponential stability of cellular neural networks with multiple time delays and impulsive effects

Exponential stability of cellular neural networks with multiple time delays and impulsive effects
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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 delaydependent and the delay-independent exponential stabilities are obtained. A numerical example is given to illustrate the effectiveness of our results. 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 delaydependent and the delay-independent exponential stabilities are obtained. A numerical example is given to illustrate the effectiveness of our results.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第11期4091-4099,共9页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant Nos 60604007 and 50775226)
关键词 cellular neural networks (CNNs) multi-delays exponential stability linear matrix inequality (LMI) cellular neural networks (CNNs), multi-delays, exponential stability, linear matrix inequality (LMI)
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