Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays. (English) Zbl 1474.34514

Wang, Wentao; Liu, Bingwen

Abstr. Appl. Anal. 2014, Article ID 967328, 17 p. (2014).

Summary: This paper is concerned with the shunting inhibitory cellular neural networks (SICNNs) with time-varying delays in the leakage (or forgetting) terms. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of pseudo almost periodic solutions by using Lyapunov functional method and differential inequality techniques. We also provide numerical simulations to support the theoretical result.

MSC:

34K20	Stability theory of functional-differential equations
34K14	Almost and pseudo-almost periodic solutions to functional-differential equations

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