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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 11/2018

09.03.2017 | Original Article

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

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

Erschienen in: Neural Computing and Applications | Ausgabe 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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Metadaten
Titel
Almost periodic dynamics of the delayed complex-valued recurrent neural networks with discontinuous activation functions
verfasst von
Mingming Yan
Jianlong Qiu
Xiangyong Chen
Xiao Chen
Chengdong Yang
Ancai Zhang
Publikationsdatum
09.03.2017
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 11/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-2911-1

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