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Robust stability analysis of static neural network with S-type distributed delays
Authors:Zhenkun Huang  Xuezhi Li  Sannay Mohamad  Zhengyi Lu
Institution:1. School of Sciences, Jimei University, Xiamen 361021, China;2. Department of Mathematics, Faculty of Science, Universiti Brunei Darussalam, Gadong BE 1410, Brunei Darussalam;3. Department of Mathematics, Xinyang Normal University, Xinyang 464000, China;4. Department of Mathematics, Wenzhou University, Wenzhou 325003, China
Abstract:In this paper, we investigate local robust stability of static neural network (SNN) with S-type distributed delays. We derive some new sufficient conditions for local robust stability of equilibrium points and estimate attracting domains of equilibrium points except isolated equilibrium points. Our results not only show local robust stability of equilibrium points but also allow much broader application for static neural network with or without delays. It is shown that our results are new and improve corresponding results existing in the previous literature.
Keywords:Static neural network  Distributed delays  Local robust stability  Attracting domains
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