Global Exponential Stability and Existence of Periodic Solution of Impulsive Cohen---Grossberg Neural Networks with Distributed Delays on Time Scales

Authors:
Yongkun Li;Lili Zhao;Tianwei Zhang
Affiliations:
Department of Mathematics, Yunnan University, Kunming, People's Republic of China 650091;Department of Mathematics, Yunnan University, Kunming, People's Republic of China 650091;Department of Mathematics, Yunnan University, Kunming, People's Republic of China 650091
Venue:
Neural Processing Letters
Year:
2011

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Abstract

On time scales, by using the continuation theorem of coincidence degree theory, M-matrix theory and constructing some suitable Lyapunov functions, some sufficient conditions are obtained for the existence and exponential stability of periodic solutions of impulsive Cohen---Grossberg neural networks with distributed delays, which are new and complement of previously known results. Finally, an example is given to illustrate the effectiveness of our main results.