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Zbl 1198.34159
Ping, Zhao Wu; Lu, Jun Guo
Global exponential stability of impulsive Cohen-Grossberg neural networks with continuously distributed delays.
(English)
[J] Chaos Solitons Fractals 41, No. 1, 164-174 (2009). ISSN 0960-0779

Summary: Several classes of impulsive Cohen-Grossberg neural networks with continuously distributed delays are considered. Global exponential stability and robust global exponential stability of the equilibrium solution are investigated by using Lyapunov function and integro-differential inequality. Moreover, sufficient conditions are also given to guarantee the existence of $\pi$-periodic solution and that all other solutions are convergent to it globally exponentially. Finally, two examples are given to demonstrate the effectiveness of our results in this paper. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
MSC 2000:
*34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks

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