Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

Mingshan Cai, Hong Zhang and Zhaohui Yuan

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 78, issue 4, 548-558

Abstract: This paper is concerned with the existence and exponential stability of positive almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays arising from the description of the states of neurons in delayed neural networks in a time-varying situation. By applying Lyapunov functional method and differential inequality techniques, new sufficient conditions ensuring the existence and exponential stability of positive almost periodic solutions for SICNNs are established.

Keywords: Shunting inhibitory cellular neural networks; Almost periodic solution; Exponential stability; Time-varying delays (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:78:y:2008:i:4:p:548-558

DOI: 10.1016/j.matcom.2007.08.001

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