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Zbl 1198.34094
Wang, Xiaohu; Xu, Daoyi
Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms. (English)
[J] Chaos Solitons Fractals 42, No. 5, 2713-2721 (2009). ISSN 0960-0779

Summary: The global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms is considered. By establishing an integro-differential inequality with impulsive initial condition and using the properties of $M$-cone and eigenspace of the spectral radius of nonnegative matrices, several new sufficient conditions are obtained to ensure the global exponential stability of the equilibrium point for fuzzy cellular neural networks with delays and reaction-diffusion terms. These results extend and improve the earlier publications. Two examples are given to illustrate the efficiency of the obtained results. \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:: *34D20 Lyapunov stability of ODE
34A07
92B20 General theory of neural networks

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