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A New Stability Condition for Uncertain Fuzzy Hopfield Neural Networks with Time-varying Delays

Jing Wang, Xia Liu, Jianjun Bai*, and Yuanfang Chen
International Journal of Control, Automation, and Systems, vol. 17, no. 5, pp.1322-1329, 2019

Abstract : "In this paper, the global asymptotic stability of uncertain fuzzy Hopfield neural networks(UFHNNs) with time-varying delays is investigated. Firstly, a new fuzzy Lyapunov function comprising a special line-integral function of fuzzy vector is proposed. Then by using theWirtinger-based integral inequality to determine the upper bound of the derivative term of the Lyapunov function more accurately, a new stability criterion with less conservatism is derived in the form of linear matrix inequality(LMI). At last, an examples is given to show the effectiveness and superiority of our result."

Keyword : "Fuzzy Lyapunov function, time-varying delays, uncertain fuzzy Hopfield neural networks, Wirtingerbased integral inequality"

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