Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms

In this paper, bidirectional associative memory (BAM) neural networks with time-varying delays in leakage terms are investigated. A set of sufficient conditions are obtained for the existence and the exponential stability of pseudo almost periodic solutions for this class of neural networks by apply...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2018-02, Vol.107, p.111-127
Main Authors: Aouiti, Chaouki, Ben Gharbia, Imen, Cao, Jinde, Salah M’hamdi, Mohammed, Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Bidirectional associative memory (BAM) neural networks
Global exponential stability
Leakage terms
Mixed delays
Pseudo almost periodic solution
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Summary:In this paper, bidirectional associative memory (BAM) neural networks with time-varying delays in leakage terms are investigated. A set of sufficient conditions are obtained for the existence and the exponential stability of pseudo almost periodic solutions for this class of neural networks by applying Banach’s fixed point theorems, and differential inequality techniques. Finally, we present a numerical example and simulation to illustrate the effectiveness of the theoretical results. We extend and improve previously know results.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2017.12.022