Existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks with impulses

Yonghui Xia, Jinde Cao and Zhenkun Huang

Chaos, Solitons & Fractals, 2007, vol. 34, issue 5, 1599-1607

Abstract: In this paper, by using the contraction principle and Gronwall–Bellman’s inequality, some sufficient conditions are obtained for checking the existence and exponential stability of almost periodic solution for shunting inhibitory cellular neural networks (SICNNs) with impulse. Our results are essentially new. It is the first time that the existence of almost periodic solutions for the impulsive neural networks are obtained.

Date: 2007
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:5:p:1599-1607

DOI: 10.1016/j.chaos.2006.05.003

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