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Consensus of High-Order Linear Multiagent Systems with Multitype Switching Topologies Based on the Dynamic Dwell Time Approach

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  • Yaxiao Zhang
  • Yangzhou Chen
  • Xiaojun Qu

Abstract

This paper investigates the consensus problem of high-order continuous-time linear multiagent systems (LMASs) with multitype switching topologies which include both consensusable and unconsensusable communication topologies. A linear transformation is introduced, which equivalently transforms the consensus problem into the stability problem of a corresponding switched system, along with a necessary and sufficient condition to analyze the consensus problem. This paper is aimed at studying the impact of a switching rule on communication topologies for consensus of LMASs. Based on the dynamic dwell time method, a sufficient condition is derived for consensus of LMASs. It is shown that, with switching signals that satisfy this switching rule, LMASs can achieve consensus under directed switching communication topologies. A numerical example is provided to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Yaxiao Zhang & Yangzhou Chen & Xiaojun Qu, 2016. "Consensus of High-Order Linear Multiagent Systems with Multitype Switching Topologies Based on the Dynamic Dwell Time Approach," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, January.
    • Handle: RePEc:hin:jnlmpe:7396419
    DOI: 10.1155/2016/7396419
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