Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays

Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays

In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete...

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Main Authors: Zhang, Hao, Wang, Xing-yuan, Lin, Xiao-hui, Liu, Chong-xin
Format: Online
Language:English
Published: Public Library of Science 2014
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3979734/
id pubmed-3979734
recordtype oai_dc
spelling pubmed-39797342014-04-11 Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays Zhang, Hao Wang, Xing-yuan Lin, Xiao-hui Liu, Chong-xin Research Article In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method. Public Library of Science 2014-04-08 /pmc/articles/PMC3979734/ /pubmed/24714386 http://dx.doi.org/10.1371/journal.pone.0093838 Text en © 2014 Zhang et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Zhang, Hao
Wang, Xing-yuan
Lin, Xiao-hui
Liu, Chong-xin
spellingShingle Zhang, Hao
Wang, Xing-yuan
Lin, Xiao-hui
Liu, Chong-xin
Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
author_facet Zhang, Hao
Wang, Xing-yuan
Lin, Xiao-hui
Liu, Chong-xin
author_sort Zhang, Hao
title Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
title_short Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
title_full Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
title_fullStr Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
title_full_unstemmed Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
title_sort stability and synchronization for discrete-time complex-valued neural networks with time-varying delays
description In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method.
publisher Public Library of Science
publishDate 2014
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3979734/
_version_ 1612075611062272000

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