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Zbl 1168.35382
Li, Zuoan; Li, Kelin
Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. (English)
[J] Appl. Math. Modelling 33, No. 3, 1337-1348 (2009). ISSN 0307-904X

Summary: We investigate a class of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. By establishing an integro-differential inequality with impulsive initial conditions and applying $M$-matrix theory, we find some sufficient conditions ensuring the existence, uniqueness, global exponential stability and global robust exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms. An example is given to illustrate the results obtained here.

MSC 2000:: *35K57 Reaction-diffusion equations
35B35 Stability of solutions of PDE
35K20 Second order parabolic equations, boundary value problems
35R10 Difference-partial differential equations
37N25 Dynamical systems in biology
92B20 General theory of neural networks

Keywords: Cohen-Grossberg neural networks; impulses; delays; global exponential stability; reaction-diffusion

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