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Zbl 1217.34126
Li, Xiaodi; Fu, Xilin
Global asymptotic stability of stochastic Cohen-Grossberg-type BAM neural networks with mixed delays: an LMI approach. (English)
[J] J. Comput. Appl. Math. 235, No. 12, 3385-3394 (2011). ISSN 0377-0427

Summary: We consider stochastic Cohen-Grossberg-type BAM neural networks with mixed delays. By utilizing a 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 {\tt Matlab} LMI toolbox. Moreover, the obtained results extend and improve earlier publications. Finally, a numerical example is provided to demonstrate the low conservatism and the effectiveness of the proposed LMI conditions.

MSC 2000:: *34K50 Stochastic delay equations
34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

Keywords: Cohen-Grossberg-type BAM neural networks; linear matrix inequality; Lyapunov-Krasovskii functional; time-varying delays; distributed delays; stochastic effect

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Zentralblatt MATH Berlin [Germany]