Periodic Solution of Cohen-Grossberg Neural Networks with Variable Coefficients

Authors:
Hongjun Xiang;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing 210096, China and Department of Mathematics, Xiangnan University, Chenzhou, 423000, China;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

In this paper, the periodic solution for a class of Cohen-Grossberg neural networks with variable coefficients is discussed. By using inequality analysis technique and matrix theory, some new sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and exponential stability of the periodic solution. An example is given to show the effectiveness of the obtained results.