Global asymptotic stability of stochastic Cohen–Grossberg-type BAM neural networks with mixed delays: An LMI approach

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摘要

In this paper, we consider the stochastic Cohen–Grossberg-type BAM neural networks with mixed delays. By utilizing the Lyapunov–Krasovskii functional and the linear matrix inequality (LMI) approach, some sufficient LMI-based conditions are obtained to guarantee the global asymptotic stability of stochastic Cohen–Grossberg-type BAM neural networks with mixed delays. These conditions can be easily checked via the MATLAB LMI toolbox. Moreover, the obtained results extend and improve the earlier publications. Finally, a numerical example is provided to demonstrate the low conservatism and effectiveness of the proposed LMI conditions.

论文关键词:Cohen–Grossberg-type BAM neural networks,Linear matrix inequality,Lyapunov–Krasovskii functional,Time-varying delays,Distributed delays,Stochastic effect

论文评审过程:Received 5 December 2009, Revised 26 April 2010, Available online 25 November 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.10.035