Contraction approach to bipartite synchronization for a network of nonlinear systems

被引：0
|
作者：
Zhai, Shidong [1 ,2 ]
Liu, Di [1 ,2 ]
Li, Qingdu [1 ,2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Minist Educ, Res Ctr Anal & Control Complex Syst, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Minist Educ, Key Lab Ind Internet Things & Networked Control, Chongqing 400065, Peoples R China
来源：
PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC) | 2016年
关键词：
Signed graph; structural balance; contractivity; nonlinear systems; MULTIAGENT SYSTEMS; ANTAGONISTIC INTERACTIONS; SWITCHING TOPOLOGY; CONSENSUS PROBLEMS; COMPETITION; DECISION; AGENTS; RULES;
D O I：
暂无
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 paper studies the bipartite synchronization in a network of nonlinear systems. Under the assumption that the signed graph is structurally balanced and the nonlinear system satisfies a one-sided Lipschitz condition, we use contraction theory to obtain some sufficient conditions such that the network admits a bipartite synchronization solution. These conditions are described by the contractivity of lower-dimensional dynamic systems which are about the second smallest eigenvalue of signed graph. Some numerical examples are presented to illustrate the effectiveness of the obtained results.
引用
收藏
页码：1471 / 1476
页数：6
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