Passivity and synchronization of coupled reaction-diffusion complex-valued memristive neural networks

Yanli Huang, Jie Hou, Erfu Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper considers two types of coupled reaction-diffusion complex-valued memristive neural networks (CRDCVMNNs). The nodes of the first type CRDCVMNN are coupled through their state and the second one is coupled by spatial diffusion coupling term. For the former, some novel criteria for the passivity and synchronization are derived by constructing an appropriate controller and utilizing some inequality techniques as well as Lyapunov functional method. For the latter, we establish some sufficient conditions which guarantee that this type of CRDCVMNNs can realize passivity and synchronization. Finally, the effectiveness and correctness of the acquired theoretical results are verified by two numerical examples.
Original languageEnglish
Article number125271
Number of pages22
JournalApplied Mathematics and Computation
Volume379
Early online date13 Apr 2020
DOIs
Publication statusPublished - 15 Aug 2020

Keywords

  • state coupling
  • spatial diffusion coupling,
  • memristive neural networks
  • synchronization
  • passivity

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