On global exponential stability for impulsive cellular neural networks with time-varying delays

Authors:
Ivanka M. Stamova;Rajcho Ilarionov
Affiliations:
Bourgas Free University, 8000 Bourgas, Bulgaria;Technical University of Gabrovo, 5300 Gabrovo, Bulgaria
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, the problem of global exponential stability for cellular neural networks (CNNs) with time-varying delays and fixed moments of impulsive effect is studied. A new sufficient condition has been presented ensuring the global exponential stability of the equilibrium points by using piecewise continuous Lyapunov functions and the Razumikhin technique combined with Young's inequality. The results established here extend those given previously in the literature. Compared with the method of Lyapunov functionals as in most previous studies, our method is simpler and more effective for stability analysis.