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Zbl 1221.35440
Zhang, Xinhua; Wu, Shulin; Li, Kelin
Delay-dependent exponential stability for impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1524-1532 (2011). ISSN 1007-5704

Summary: A class of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion is formulated and investigated. By employing delay differential inequality and the linear matrix inequality (LMI) optimization approach, some sufficient conditions ensuring global exponential stability of equilibrium point for impulsive Cohen-Grossberg neural networks with time-varying delays and diffusion are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, diffusion effect and impulsive disturbed intention. It is believed that these results are significant and useful for the design and applications of Cohen-Grossberg neural networks. An example is given to show the effectiveness of the results obtained here.

MSC 2000:: *35R12 Impulsive partial differential equations
35B35 Stability of solutions of PDE
92B20 General theory of neural networks

Keywords: Cohen-Grossberg neural networks; impulses; delays; global exponential stability; linear matrix inequality

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Zentralblatt MATH Berlin [Germany]