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Finite/Fixed-Time Anti-Synchronization of Inconsistent Markovian Quaternion-Valued Memristive Neural Networks With Reaction-Diffusion Terms

Authors
Song, XiaonaMan, JingtaoSong, ShuaiAhn, Choon Ki
Issue Date
1월-2021
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Keywords
QVMNNs; reaction-diffusion terms; inconsistent Markov chains; F/FTAS; algebraic inequality
Citation
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, v.68, no.1, pp.363 - 375
Indexed
SCIE
SCOPUS
Journal Title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume
68
Number
1
Start Page
363
End Page
375
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/50618
DOI
10.1109/TCSI.2020.3025681
ISSN
1549-8328
Abstract
In this paper, a novel class of quaternion-valued memristive neural networks (QVMNNs) that considers both the spatial factor and Markov jump phenomenon is proposed, the finite/fixed-time anti-synchronization (F/FTAS) of which is investigated. It is worth mentioning that the considered master and slave systems are assumed to jump along two inconsistent Markov chains, which is a first attempt at the issue of the anti-synchronization of Markovian systems and may be more realistic than most existing Markovian systems' models. Then, a suitable feedback controller is designed, such that the error system can be finite/fixed-time stable. Moreover, by integrating algebraic inequality technologies and Lyapunov theory, a new F/FTAS theorem can be obtained for the proposed systems. Finally, this paper provides two examples, so that the rationality, superiority, and practical value of the main results can be illustrated.
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공과대학 (전기전자공학부)
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