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  • Title: Stability and L2 performance analysis of stochastic delayed neural networks.
    Author: Chen Y, Zheng WX.
    Journal: IEEE Trans Neural Netw; 2011 Oct; 22(10):1662-8. PubMed ID: 21843984.
    Abstract:
    This brief focuses on the robust mean-square exponential stability and L(2) performance analysis for a class of uncertain time-delay neural networks perturbed by both additive and multiplicative stochastic noises. New mean-square exponential stability and L(2) performance criteria are developed based on the delay partition Lyapunov-Krasovskii functional method and generalized Finsler lemma which is applicable to stochastic systems. The analytical results are established without involving any model transformation, estimation for cross terms, additional free-weighting matrices, or tuning parameters. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing ones.
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