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Ahmad, Shair; Stamova, Ivanka M.

Global exponential stability for impulsive cellular neural networks with time-varying delays. (English) Zbl 1151.34061

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 786-795 (2008).
Summary: We study the problem of global exponential stability for cellular neural networks (CNN) with time-varying delays and fixed moments of impulsive effect. We establish several stability criteria by employing Lyapunov functions and the Razumikhin technique.

Cited in 39 Documents

MSC:

34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
34K60 Qualitative investigation and simulation of models involving functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

global exponential stability; impulsive cellular neural networks; delays; Lyapunov method
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\textit{S. Ahmad} and \textit{I. M. Stamova}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 3, 786--795 (2008; Zbl 1151.34061)
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References:

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