Distributed asynchronous impulsive consensus of one-sided Lipschitz nonlinear multi-agent systems

Tiedong Ma*, Zhengle Zhang, Bing Cui

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

This article investigates the consensus problem of one-sided Lipschitz nonlinear multi-agent systems (MASs) with distributed asynchronous impulsive control protocol. Based on the theory of discontinuous Lyapunov stability and impulsive differential equation, some new sufficient criteria about asynchronous impulsive control are derived to guarantee the consensus of one-sided Lipschitz nonlinear MASs. Different from the existing methods of synchronous impulsive control, the asynchronous impulsive control does not need all agents are controlled simultaneously at one impulsive instant. Compared with the traditional Lipschitz condition, the one-sided Lipschitz nonlinear function considered in this article can obtain a wider nonlinear range. Finally, some numerical simulation examples are given to verify the correctness of the theoretical analysis.

Original languageEnglish
Pages (from-to)9094-9108
Number of pages15
JournalInternational Journal of Robust and Nonlinear Control
Volume31
Issue number18
DOIs
Publication statusPublished - Dec 2021

Keywords

  • asynchronous impulsive control
  • distributed control
  • multi-agent systems
  • one-sided Lipschitz nonlinear system

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