State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay

Zhaoxia Duan, Guisheng Zhai, Zhengrong Xiang

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper studies the consensus problem for hierarchical multi-agent dynamical systems with the inter-layer communication time-varying delay. This paper firstly finds a mathematical model for the hierarchical multi-agent dynamical systems with inter-layer communication time-varying delay, and then delay-dependent sufficient conditions are proposed for reaching a consensus based on Lyapunov function approach. A Lyapunov function is introduced to quantify the total disagreement among the nodes of a hierarchical network. All the results are in the form of linear matrix inequalities (LMIs). Simulation results are provided to verify the effectiveness of the proposed condition for agreement in networks with inter-layer communication time-delay.

Original languageEnglish
Pages (from-to)1235-1249
Number of pages15
JournalJournal of the Franklin Institute
Volume352
Issue number3
DOIs
Publication statusPublished - 2015 Mar 1

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Time delay
Dynamical systems
Lyapunov functions
Communication
Linear matrix inequalities
Mathematical models

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Networks and Communications
  • Applied Mathematics
  • Signal Processing

Cite this

State consensus for hierarchical multi-agent dynamical systems with inter-layer communication time delay. / Duan, Zhaoxia; Zhai, Guisheng; Xiang, Zhengrong.

In: Journal of the Franklin Institute, Vol. 352, No. 3, 01.03.2015, p. 1235-1249.

Research output: Contribution to journalArticle

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