Global Exponential Stability for Impulsive BAM Neural Networks with Distributed Delays on Time Scales

Authors:
Yongkun Li;Shan Gao
Affiliations:
Department of Mathematics, Yunnan University, Yunnan, Kunming, People's Republic of China 650091;Department of Mathematics, Yunnan University, Yunnan, Kunming, People's Republic of China 650091
Venue:
Neural Processing Letters
Year:
2010

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Abstract

In this paper, by utilizing the time scale calculus theory, topological degree theory and Hölder's inequality on time scales, we analyze a class of impulsive BAM neural networks with distributed delays on time scales. Some sufficient conditions are obtained to ensure the existence, uniqueness and the global exponential stability of the equilibrium point. Finally, an example is provided to demonstrate the effectiveness of the results.