Leader-following consensus criteria for multi-agent systems with time-varying delays and switching interconnection topologies  

作　　者：M.J.Park O.M.Kwon Ju H.Park S.M.Lee E.J.Cha 

机构地区：[1]School of Electrical Engineering,Chungbuk National University [2]Department of Electrical Engineering,Yeungnam University [3]School of Electronic Engineering,Daegu University [4]Department of Biomedical Engineering,School of Medicine,Chungbuk National University

出　　处：《Chinese Physics B》2012年第11期144-153,共10页中国物理B（英文版）

基　　金：Project supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF);the Ministry of Education,Science and Technology,Korean (Grant Nos. 2012-0000479 and 2011-0009273);the Korea Healthcare Technology R & D Project,Ministry of Health & Welfare,Republic of Korea (Grant No. A100054)

摘　　要：We consider multi-agent systems with time-varying delays and switching interconnection topologies. By con- structing a suitable Lyapunov-Krasovskii functional and using the reciprocally convex approach, new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities （LMIs）, which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.We consider multi-agent systems with time-varying delays and switching interconnection topologies. By con- structing a suitable Lyapunov-Krasovskii functional and using the reciprocally convex approach, new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities （LMIs）, which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

关 键 词：CONSENSUS multi-agent systems time delay Lyapunov method 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TP393.1[自动化与计算机技术—控制科学与工程]