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

Author: Li Yongkun  

Publisher: Springer Publishing Company

ISSN: 1370-4621

Source: Neural Processing Letters, Vol.33, Iss.1, 2011-02, pp. : 61-81

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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.