Projective Group Consensus of Multi-Agent Systems with Arbitrary Parameter

作     者：CHEN Liangkang GUO Liuxiao YANG Yongqing CHEN Liangkang;GUO Liuxiao;YANG Yongqing

作者机构：School of ScienceJiangnan UniversityWuxi 214122China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2021年第34卷第2期

页      面：618-631页

核心收录：

学科分类：0711[理学-系统科学] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China under Grant Nos.61807016 and 61772013 the Natural Science Foundation of Jiangsu Province under Grant Nos.BK20181342 and BK20171142。 

主　　题：Group consensus multi-agent systems subgroups time delay 

摘      要：In this paper,the projective group consensus issue for second order multi-agent systems(MASs)in directed graphs with a dynamic leader is investigated.The proposed projective group consensus with arbitrary parameter includes traditional consensus,reverse group consensus and cluster consensus as its special cases.Novel distributed control protocols are designed to obtain projective group consensus without analyzing signed directed graph as in most current literatures on bipartite consensus problem.On the basis of Lyapunov stability property,algebraic graph and some necessary matrix theory,sufficient conditions for delay and delay-free cases are derived.Finally,simulations of nonlinear chaotic MASs are adopted to testify the theoretical results.