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		Tao LI,Shumin FEI,Qing ZHU.[en_title][J].Control Theory and Technology,2008,6(4):449~454.[Copy]

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TaoLI,ShuminFEI,QingZHU
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Global stability of Cohen-Grossberg neural networks with time-varying and distributed delays

Tao LI, Shumin FEI, Qing ZHU

(Research Institute of Automation, Southeast University, Nanjing Jiangsu 210096, China)

Abstract:

In this paper, the global asymptotic stability is investigated for a class of Cohen-Grossberg neural networks with time-varying and distributed delays. By using the Lyapunov-Krasovskii functional and equivalent descriptor form of the considered system, several delay-dependent sufficient conditions are obtained to guarantee the asymptotic stability of the addressed systems. These conditions are dependent on both time-varying and distributed delays and presented in terms of LMIs and therefore, the stability criteria of such systems can be checked readily by resorting to the Matlab LMI toolbox.Finally, an example is given to show the effectiveness and less conservatism of the proposed methods.

Key words: Cohen-Grossberg neural networks Asymptotic stability Free-weighting matrix Distributed delay LMIs