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

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

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Article ID: iaor20114325
Volume: 235
Issue: 12
Start Page Number: 3385
End Page Number: 3394
Publication Date: Apr 2011
Journal: Journal of Computational and Applied Mathematics
Authors: ,
Keywords: optimization, heuristics, neural networks
Abstract:

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.

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