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

Xiaona Song, Jingtao Man, Shuai Song, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number9211736
Pages (from-to)363-375
Number of pages13
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume68
Issue number1
DOIs
Publication statusPublished - 2021 Jan

Keywords

  • algebraic inequality
  • F/FTAS
  • inconsistent Markov chains
  • QVMNNs
  • reaction-diffusion terms

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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