Consensus and r-consensus problems for singular systems

被引：1

作者：

Zhang Lequn ^{[1
]}

Feng Jun-e ^{[1
]}

Yao Juan ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & 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：

10.1007/s11424-014-1294-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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

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