Dynamics of Cohen-Grossberg neural networks with variable and distributed delays |
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Authors: | Zisen Mao Xiaofeng Wang |
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Institution: | a Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China b Department of Mathematics, Xinjiang Normal University, 830054, Urumqi, PR China |
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Abstract: | This paper is concerned with the analysis problem for the exponential stability of a class of Cohen-Grossberg neural networks with variable and distributed delays. Some sufficient conditions ensuring the existence, uniqueness and exponential stability of the equilibrium point are obtained by employing Brouwer’s fixed-point theorem and by applying the inequality technique. In the results, we do not assume that the activation function satisfies the boundedness and the Lipschitz condition. Three numerical examples are given to show the effectiveness of the obtained results. |
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Keywords: | Cohen-Grossberg neural networks Variable delays Distributed delays Exponential stability Equilibrium point |
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