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Exponential stability of cellular neural networks with multiple time delays and impulsive effects |
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| Authors: | Li Dong Wang Hui Yang Dan Zhang Xiao-Hong Wang Shi-Long |
| Affiliation: | College of Mathematics and Physics Science,ChongqingUniversity, Chongqing 400030, China; College of Software Engineering, Chongqing University,Chongqing 400030, China; Department of Mathematics, Leshan Teachers' College,Leshan 614004, China; State Key Laboratories of Mechanical Transmission,Chongqing University, Chongqing 400030, China |
| Abstract: | In this work, the stability issues of the equilibrium points of thecellular neural networks with multiple time delays and impulsiveeffects are investigated. Based on the stability theory ofLyapunov--Krasovskii, the method of linear matrix inequality (LMI)and parametrized first-order model transformation, several novelconditions guaranteeing the delay-dependent and thedelay-independent exponential stabilities are obtained. A numericalexample is given to illustrate the effectiveness of our results. |
| Keywords: | cellular neural networks (CNNs) multi-delays exponential stability linear matrix inequality (LMI) |
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