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Global robust exponential stability analysis for stochastic interval neural networks with time-varying delays. (English) Zbl 1221.93215
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 LMI control toolbox in Matlab. A numerical example is given to illustrate the effectiveness and improvement over some existing results.
MSC:
93D09Robust stability of control systems
34K50Stochastic functional-differential equations
62M45Neural nets and related approaches (inference from stochastic processes)
Software:
Matlab