Necessary and sufficient conditions for mean square consensus under Markov switching topologies

被引：46
|
作者：
Miao, Guoying [1 ]
Xu, Shengyuan [1 ]
Zou, Yun [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 01期
关键词：
multi-agent systems; consensus; Markov; time delays; MULTIAGENT SYSTEMS; LEADER;
D O I：
10.1080/00207721.2011.598961
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article deals with the mean square consensus problem for second-order discrete-time multi-agent systems. Both cases of systems with and without time delays in Markov switching topologies are considered. With the introduced control protocols, necessary and sufficient conditions for mean square consensus of second-order multi-agent systems are derived. Under the given control protocols in Markov switching topologies, the second-order multi-agent systems can reach mean square consensus if and only if each union of the graphs corresponding to all the nodes in closed sets has a spanning tree. Finally, a simulation example is provided to illustrate the effectiveness of our theoretical results.
引用
收藏
页码：178 / 186
页数：9
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