Some improved methods to analysis stability of recurrent neural networks with interval time-varying delays |
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Authors: | Feng-Jiao Jiang Gong-zhi Yu Wei-bo Song Kai-yan Zhu Kewei Cai |
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Affiliation: | 1. College of Information Engineering, Dalian Ocean University, Dalian, China;2. Dalian Ocean University, Dalian, China |
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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. |
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Keywords: | Recurrent neural networks LKF interval time-varying delays stability criteria |
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