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Some improved methods to analysis stability of recurrent neural networks with interval time-varying delays
Authors:Feng-Jiao Jiang  Gong-zhi Yu  Wei-bo Song  Kai-yan Zhu  Kewei Cai
Affiliation:1. College of Information Engineering, Dalian Ocean University, Dalian, China;2. Dalian Ocean University, Dalian, China
Abstract:This paper considers the delay-dependent stability problem of recurrent neural networks with interval time-varying delays. An appropriate Lyapunov–Krasovskii functional is constructed and the combination method of Wirtinger inequality and reciprocally convex optimization technique is employed. Combing a new activation function segmentation method of the boundary condition and the orthogonal complement lemma, three further improved delay-dependent stability criteria are established. Finally, two numerical examples show the effectiveness of our proposed method by comparison with the recent existing works.
Keywords:Recurrent neural networks  LKF  interval time-varying delays  stability criteria
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