CONSENSUS AND r-CONSENSUS PROBLEMS FOR SINGULAR SYSTEMS

被引：0

作者：

ZHANG Lequn ^{[1
]}

FENG Jun-e ^{[1
]}

YAO Juan ^{[1
]}

机构：

[1] School of Mathematics, Shandong University

来源：

JournalofSystemsScience&Complexity | 2014年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Balanced graphs; consensus; r-consensus; singular systems; strong connected graphs;

D O I：

暂无

中图分类号：

O157.5 [图论];

学科分类号：

070104 ;

摘要：

In this paper, the problem of consensus for continuous time singular systems of multi-agent networks is considered. The definition of r-consensus is introduced for singular systems of multi-agent networks. Firstly, linear systems with algebraic constraints are considered, and the corresponding results about consensus and average-consensus are derived. Then r-consensus and consensus problems of singular systems are investigated. Sufficient conditions of r-consensus and consensus are obtained,respectively. Finally, an illustrative example is given to show the effectiveness of the proposed method.

引用

页码：252 / 262

页数：11

共 2 条

[1] CONSENSUS CONTROL FOR LEADER-FOLLOWING MULTI-AGENT SYSTEMS WITH MEASUREMENT NOISES[J]. Cuiqin MA School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China.Email:cuiqinma@amss.ac.cn. Tao LI·Jifeng ZHANG Key Laboratory of Systems and Control,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China. Journal of Systems Science & Complexity. 2010(01)
[2] Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises .2 Li,Tao,Zhang,Ji-Feng. IEEE Transactions on Automatic Control . 2010

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