Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays |
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| Authors: | Haibo Gu Zhidong Teng |
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| Institution: | a College of Mathematics Sciences, Xinjiang Normal University, Urumqi 830054, China
b College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China |
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| Abstract: | In this paper, some sufficient conditions are obtained for existence and global exponential stability of a unique equilibrium point of competitive neural networks with different time scales and multiple delays by using nonlinear Lipschitz measure (NLM) method and constructing suitable Lyapunov functional. The results of this paper are new and they complete previously known results. |
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| Keywords: | Competitive neural networks Equilibrium point Time scale Global exponential stability |
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