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2015•Unpublished venueRequires access

Leader-follower consensus control of multi-agent systems with extended Laplacian matrix

Wei Liu, Qingpo Wu, Shaolei Zhou, Gaoyang Yin

Open publisher page 6 citations

Abstract

This paper studies the leader-follower consensus problem of identical linear time invariant multi-agent systems. A directed graph is used to model the communication topology and a kind of extended graph Laplacian matrix is introduced. By performing a variable transformation, the consensus problem is converted to a stabilization problem. Sufficient conditions are proposed based on the Lyapunov stability analyses and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

About this research paper

What this paper is about

This paper studies the leader-follower consensus problem of identical linear time invariant multi-agent systems. A directed graph is used to model the communication topology and a kind of extended graph Laplacian matrix is introduced. By performing a variable transformation, the consensus problem is converted to a stabilization problem. Sufficient conditions are proposed based on the Lyapunov stability analyses and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper studies the leader-follower consensus problem of identical linear time invariant multi-agent systems. A directed graph is used to model the communication topology and a kind of extended graph Laplacian matrix is introduced. By performing a variable transformation, the consensus problem is converted to a stabilization problem. Sufficient conditions are proposed based on the Lyapunov stability analyses and algebraic graph theory. The effectiveness of the theoretical results is illustrated via numerical simulations.

Key concepts: Algebraic graph theory, Laplacian matrix, Algebraic connectivity, Directed graph, Consensus, Multi-agent system, Spectral graph theory, Graph

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