The Journal of China Universities of Posts and Telecommunications ›› 2023, Vol. 30 ›› Issue (6): 11-21.doi: 10.19682/j.cnki.1005-8885.2023.1018

Special Issue: 复杂网络传播与网络控制

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Distributed consensus of Lurie multi-agent systems under directed topology: a contraction approach

Zhang Xiaojiao, Wu Xiang   

  1. 1. School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China
    2. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China
  • Received:2023-07-21 Revised:2023-10-03 Online:2023-12-28 Published:2023-12-28
  • Contact: Zhang Xiaojiao
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (61963010), the Jiangxi Provincial Natural Science Foundation ( 20232BAB202034 ), the Science and Technology Key Project of Jiangxi Provincial Education Department (GJJ202602, GJJ2202005).

Abstract: This paper is devoted to investigate the consensus problems for the multi-agent systems with Lurie nonlinear dynamics in directed topology. Under some assumptions, some sufficient conditions for the systems reaching leaderless consensus and tracking consensus are established by using contraction analysis theory. Compared with the existing results, there is no need to formulate the multi-agent networks in compact form. These conditions are only related to the individual agent in lower-dimensional case and the communication topology of the network. Additionally, a generalized nonlinear function is introduced. Finally, three numerical examples are demonstrated to illustrate the effectiveness of the theoretical results.

Key words: contraction theory, virtual system, partial contraction theory, Lurie dynamics, nonlinear multi-agent systems