Existence and Stability of Periodic Solution of Non-autonomous Neural Networks with Delay

Authors:
Minghui Jiang;Xiaohong Wang;Yi Shen
Affiliations:
Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei, 443000, China;Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei, 443000, China;Department of Control Science and Engineering, Huazhong University, of Science and Technology, Wuhan, Hubei, 430074, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

The paper investigates the existence and global stability of periodic solution of non-autonomous neural networks with delay. Then the existence and uniqueness of periodic solutions of the neural networks are discussed in the paper. Moreover, criterion on stability of periodic solutions of the neural networks is obtained by using matrix function inequality, and algorithm for the criterion on the neural networks is provided. Result in the paper generalizes and improves the result in the existing references. In the end, an illustrate example is given to verify our results.