Consensus problems in discrete-time multiagent systems with fixed topology

被引：48
|
作者：
Xiao, Feng [1 ]
Wang, Long
Wang, Aiping
机构：
[1] Peking Univ, Dept Mech & Engn Sci, Ctr Syst & Control, Beijing 100871, Peoples R China
[2] Inner Mongolia Univ, Dept Math, Hohhot 010021, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 322卷 / 02期
基金：
中国国家自然科学基金;
关键词：
consensus problem; consensus function; standard topology; leaders-followers decomposition;
D O I：
10.1016/j.jmaa.2005.08.094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the consensus problems in discrete-time multiagent systems with fixed topology. A necessary and sufficient condition for a system that solves a consensus problem is established, and the structure of consensus functions is characterized. Based on them, we introduce the standard topologies (graphs) of information flow, with which the systems can be viewed as single-leader-multi-follower systems. Moreover, the convex combination of these topologies can create a system that solves any predeterminate consensus problem. Additionally, we characterize the structural decomposition-the leaders-followers decomposition of a multiagent system, and establish a necessary and sufficient condition for an agent to be a leader. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：587 / 598
页数：12
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