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

45 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2021 Jan

Bibliographical note

Funding Information:
Manuscript received July 8, 2020; revised September 3, 2020; accepted September 17, 2020. Date of publication October 2, 2020; date of current version December 21, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61976081 and Grant U1604146; in part by the Foundation for the University Technological Innovative Talents of Henan Province under Grant 18HASTIT019; in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449; and in part by the Brain Korea 21 Plus Project in 2020. This article was recommended by Associate Editor A. Elwakil. (Corresponding author: Choon Ki Ahn.) Xiaona Song and Jingtao Man are with the School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China (e-mail:;

Publisher Copyright:
© 2004-2012 IEEE.


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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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