Synchronization in Finite/Fixed Time for Markovian Complex-Valued Nonlinear Interconnected Neural Networks with Reaction-Diffusion Terms

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

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This paper considers a novel class of nonlinear interconnected neural networks (INNs) where the Markovian jump parameters and reaction-diffusion terms are both involved. The nonlinear INNs are studied in the complex domain, which is a meaningful attempt in the research on INNs. Then, by designing a suitable nonlinear controller and employing the Lyapunov functional and algebraic inequality technologies, a finite/fixed-time synchronization criterion in probability can be obtained for the $N$ subsystems. Note that the criteria for synchronization in finite time and fixed time are obtained with only one controller and integrated into a unified theorem. A secret communication example is presented, such that the validity and practicability of this paper can be verified.

Original languageEnglish
Pages (from-to)3313-3324
Number of pages12
JournalIEEE Transactions on Network Science and Engineering
Volume8
Issue number4
DOIs
Publication statusPublished - 2021

Keywords

  • Finite/fixed-time synchronization
  • Markovian nonlinear INNs
  • complex domain
  • reaction-diffusion terms
  • secret communication

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Networks and Communications

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