Consensus problems for high-dimensional multi-agent systems

被引:183
作者
Xiao, F. [1 ]
Wang, L. [1 ]
机构
[1] Peking Univ, Coll Engn, Dept Mech & Space Technol, Ctr Syst & Control, Beijing 100871, Peoples R China
关键词
D O I
10.1049/iet-cta:20060014
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
As a new area of research, consensus problems for multi-agent systems have been studied extensively in the literature. It is usually assumed that all agents share a common one-dimensional state space. The authors of this study concentrate on the consensus problems of multi-agent systems in the framework of high-dimensional state space. As a basis for the analysis, a general model is first introduced by presenting two typical examples along with some necessary and sufficient conditions for the system to solve a consensus problem. Then the structures of consensus functions are investigated and some algebraic characterisations are given. Finally, a class of switched multi-agent systems are discussed and some sufficient conditions for the possession of the consensus property are provided. Several examples to illustrate the effectiveness of theoretical results are given.
引用
收藏
页码:830 / 837
页数:8
相关论文
共 22 条
[1]   Self-organized motion in a class of anisotropic swarms: Convergence vs oscillation [J].
Chu, TG ;
Wang, L ;
Chen, TW .
ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, :3474-3479
[2]   Information consensus of asynchronous discrete-time multi-agent systems [J].
Fang, L ;
Antsaklis, PJ .
ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, :1883-1888
[3]  
Godsil C., 2001, ALGEBRAIC GRAPH THEO
[4]   Agreement over random networks [J].
Hatano, Y ;
Mesbahi, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1867-1872
[5]  
Horn R. A., 1986, Matrix analysis
[6]   On geographic routing without location information [J].
Jadbabaie, A .
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, :4764-4769
[7]   Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].
Jadbabaie, A ;
Lin, J ;
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001
[8]   Decentralized control of vehicle formations [J].
Lafferriere, G ;
Williams, A ;
Caughman, J ;
Veerman, JJP .
SYSTEMS & CONTROL LETTERS, 2005, 54 (09) :899-910
[9]   Stability of multiagent systems with time-dependent communication links [J].
Moreau, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :169-182
[10]   Coordinated collective motion in a motile particle group with a leader [J].
Mu, SM ;
Chu, TG ;
Wang, L .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 351 (2-4) :211-226