Robust stability analysis for discrete-time stochastic neural networks systems with time-varying delays

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摘要

In this paper, the mean square exponential stability is investigated for a class of discrete-time stochastic neural networks with time-varying delays and norm-bounded uncertainties. Based on Lyapunov stability theory and stochastic approaches, delay-dependent criteria are derived to ensure the robust exponential stability in the mean square for the addressed system. Meantime, by using the numerically efficient Matlab LMI Toolbox, a example is presented to show the usefulness of the derived LMI-based stability condition.

论文关键词:Discrete-time stochastic neural networks,Linear matrix inequality (LMI),Exponential stability,Delay-dependent criteria,Lyapunov–Krasovskii functional,Time-varying delays

论文评审过程:Available online 8 January 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2008.12.084