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

Authors :
Stamova, Ivanka M.
Ilarionov, Rajcho
Source :
Computers & Mathematics with Applications. Jun2010, Vol. 59 Issue 11, p3508-3515. 8p.
Publication Year :
2010

Abstract

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. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08981221
Volume :
59
Issue :
11
Database :
Academic Search Index
Journal :
Computers & Mathematics with Applications
Publication Type :
Academic Journal
Accession number :
50735628
Full Text :
https://doi.org/10.1016/j.camwa.2010.03.043