Attracting and invariant sets of impulsive delay Cohen-Grossberg neural networks |
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| Authors: | Danhua He Xiaohu Wang |
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| Institution: | a Department of Mathematics, Zhejiang International Studies University, Hangzhou, 310012, PR Chinab Yangtze Center of Mathematics, Sichuan University, Chengdu, 610064, PR China |
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| Abstract: | In this paper, a class of impulsive delay Cohen-Grossberg neural networks (IDCGNNs) is investigated. By applying a nonlinear delay differential inequality with removing some restrictions on the amplification functions, some new and useful sufficient conditions ensuring the existence of global attracting and invariant sets for IDCGNNs are obtained. An example is given to illustrate the effectiveness of our results. |
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| Keywords: | Impulsive Nonlinear delay differential inequality Invariant set Attracting set |
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