On global exponential stability of delayed cellular neural networks with time-varying delays. (English) Zbl 1114.34337

Zhang, Qiang; Wei, Xiaopeng; Xu, Jin

Appl. Math. Comput. 162, No. 2, 679-686 (2005).

Summary: A new sufficient condition has been presented ensuring the global exponential stability of cellular neural networks with time-varying delays by using an approach based on a delay differential inequality combined with Young’s inequality. The results established here extend those in the literature. Compared with the method of Lyapunov functionals as in most previous studies, our method is simpler and more effective for the stability analysis.

MSC:

34K20	Stability theory of functional-differential equations
92B20	Neural networks for/in biological studies, artificial life and related topics

Keywords:

delay differential inequality; Lyapunov functionals

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