Dissipative Synchronization of Semi-Markov Jump Complex Dynamical Networks via Adaptive Event-Triggered Sampling Control Scheme

Xiaona Song, Renzhi Zhang, Choon Ki Ahn, Shuai Song

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

This article investigates the dissipative synchronization of complex dynamical networks (CDNs) with semi-Markov switching topological structures. First, by introducing a semi-Markov process, the model we investigated is more practical and stands for an extension of the Markov jump CDNs that have been widely studied. Second, an adaptive event-triggered sampling controller is newly proposed for semi-Markov jump CDNs, unlike the periodic event-triggered control scheme, the adaptive event-triggered sampling control strategy can further reduce the controller’s update frequency by adaptively adjusting its threshold. Moreover, with the help of a novel two-sided looped-functional and some advanced inequality techniques, the conservatism of the obtained result is greatly reduced. A sufficient synchronization condition that ensures the stochastic stability of the error system is established. Finally, to show the validity and superiority of the proposed method, several examples including some comparisons and applications are given in the simulation part.

Original languageEnglish
JournalIEEE Systems Journal
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Adaptive event-triggered sampling control
  • Delays
  • Markov processes
  • semi-Markov jump complex dynamical networks (CDNs)
  • Stability analysis
  • stochastic synchronization
  • Switches
  • Symmetric matrices
  • Synchronization
  • Tools
  • two-sided looped-functional

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Information Systems
  • Computer Science Applications
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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