Stability of stochastic Markovian jump neural networks with mode-dependent delays |
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Authors: | Qian Ma Shengyuan Xu Yun Zou Jinjun Lu |
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Affiliation: | 1. School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China;1. College of Science, Hohai University, Nanjing, 210098,China;2. School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing, 210023, China;3. Department of Mathematics, University of Bielefeld, Bielefeld D-33615, Germany;4. College of Science, North China University of Science and Technology, Hebei, 063009, China |
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Abstract: | In this paper, the problem of stability analysis for a general class of uncertain stochastic neural networks with Markovian jumping parameters and mixed mode-dependent delays is considered. By the use of a new Markovian switching Lyapunov–Krasovskii functional, delay-dependent conditions on mean square asymptotic stability are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the proposed approach. |
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