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Zbl 1221.93215
Su, Weiwei; Chen, Yiming
Global robust exponential stability analysis for stochastic interval neural networks with time-varying delays. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2293-2300 (2009). ISSN 1007-5704

Summary: The global exponential stability is investigated for a class of stochastic interval neural networks with time-varying delays. The parameter uncertainties are assumed to be bounded in given compact sets. Based on Lyapunov stable theory and stochastic analysis approaches, the delay-dependent criteria are derived to ensure the global, robust, exponential stability of the addressed system in the mean square. The criteria can be checked easily by the {\tt LMI control toolbox} in {\tt Matlab}. A numerical example is given to illustrate the effectiveness and improvement over some existing results.

MSC 2000:: *93D09 Robust stability of control systems
34K50 Stochastic delay equations
62M45 Neural nets and related approaches

Keywords: stochastic interval neural networks; global robust exponential stability; time-varying delays

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