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Liu, Bingwen; Gong, Shuhua

Periodic solution for impulsive cellar neural networks with time-varying delays in the leakage terms. (English) Zbl 1279.34091

Abstr. Appl. Anal. 2013, Article ID 701087, 10 p. (2013).
Impulsive cellular neural networks with time-varying delays in the leakage terms are studied. Sufficient conditions for the existence of periodic solutions are derived. Exponential stability of the solutions is proved by means of a Lyapunov functional and differential inequalities techniques. An example is presented for the illustration of the obtained theoretical results.
Reviewer: Angela Slavova (Sofia)

Cited in 5 Documents

MSC:

34K45 Functional-differential equations with impulses
92B20 Neural networks for/in biological studies, artificial life and related topics
34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations

Keywords:

impulsive cellular neural networks; periodic solution; exponential stability
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References:

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