Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays |
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| Authors: | Zhigang Liu Liusheng Liao |
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| Institution: | Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, PR China |
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| Abstract: | By using the continuation theorem of Mawhin's coincidence degree theory and Gronwall's inequality, some new sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of cellular neural networks with periodic coefficients and delays. These results are helpful to design globally exponentially stable and oscillatory cellular neural networks. |
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| Keywords: | Neural networks Topological degree Periodic solution Exponential stability |
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