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Neural Computing and Applications
Published in: Neural Computing and Applications 5/2015

01-07-2015 | Original Article

Square-mean almost periodic solution for stochastic Hopfield neural networks with time-varying delays on timescales

Authors: Yongkun Li, Li Yang, Wanqin Wu

Published in: Neural Computing and Applications | Issue 5/2015

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Abstract

In this paper, we first propose a concept of square-mean almost periodic function on timescales. Then, by means of the fixed point theory and differential inequality techniques on timescales, we establish some sufficient conditions on the existence and global exponential stability of square-mean almost periodic solutions for a class of stochastic Hopfield neural networks with time-varying delays on timescales. Our results are new even if the timescale \({\mathbb {T}}={\mathbb {R}}\) or \({\mathbb {Z}}\). Finally, we present an example to illustrate our theoretical results.
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Metadata
Title
Square-mean almost periodic solution for stochastic Hopfield neural networks with time-varying delays on timescales
Authors
Yongkun Li
Li Yang
Wanqin Wu
Publication date
01-07-2015
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 5/2015
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1784-9

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