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Neural Computing and Applications

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09-03-2017 | Original Article

Almost periodic dynamics of the delayed complex-valued recurrent neural networks with discontinuous activation functions

Authors: Mingming Yan, Jianlong Qiu, Xiangyong Chen, Xiao Chen, Chengdong Yang, Ancai Zhang

Published in: Neural Computing and Applications | Issue 11/2018

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Abstract

The target of this article is to study almost periodic dynamical behaviors for complex-valued recurrent neural networks with discontinuous activation functions and time-varying delays. We construct an equivalent discontinuous right-hand equation by decomposing real and imaginary parts of complex-valued neural networks. Based on differential inclusions theory, diagonal dominant principle and nonsmooth analysis theory of generalized Lyapunov function method, we achieve the existence, uniqueness and global stability of almost periodic solution for the equivalent delayed differential network. In particular, we derive a series of results on the equivalent neural networks with discontinuous activation functions, constant coefficients as well as periodic coefficients, respectively. Finally, we give a numerical example to demonstrate the effectiveness and feasibility of the derived theoretical results.

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Title: Almost periodic dynamics of the delayed complex-valued recurrent neural networks with discontinuous activation functions
Authors: Mingming Yan
Jianlong Qiu
Xiangyong Chen
Xiao Chen
Chengdong Yang
Ancai Zhang
Publication date: 09-03-2017
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 11/2018
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-017-2911-1

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