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

作　　者：Zhang Xiaojiao Wu Xiang 

机构地区：[1]School of Mathematics and Information Science,Nanchang Normal University,Nanchang 330032,China [2]School of Mathematical Sciences,Guizhou Normal University,Guiyang 550001,China

出　　处：《The Journal of China Universities of Posts and Telecommunications》2023年第6期11-21,共11页中国邮电高校学报（英文版）

基　　金：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)。

摘　　要：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.

关 键 词：contraction theory virtual system partial contraction theory Lurie dynamics nonlinear multi-agent systems 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]