Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637044 | Applied Mathematics and Computation | 2006 | 17 Pages |
Abstract
Qualitative property for a class of the delayed Cohen–Grossberg neural network with high-order terms is investigated in the paper. Periodic solution is rigorously proved to be exist in this class of models by means of the Gains and Mawhin’s continuation theorem. In addition, sufficient conditions are established for both global exponential and asymptotical stability of the existent periodic solution with the aid of the Lyapunov functional and the theory of linear matrix inequality (LMI). Finally, two examples with their numerical simulations are provided to illustrate the possible application of our criteria.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chen Wu, Jiong Ruan, Wei Lin,