Consensus in Coupled van der Pol Systems

被引：0

作者：

Yu Xuecheng ^{[1
]}

Wang Xina ^{[2
]}

Chu Tianguang ^{[1
]}

机构：

[1] Peking Univ, Coll Engn, Beijing 100871, Peoples R China

[2] PLA Logist Acad, Beijing 100036, Peoples R China

来源：

PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年

关键词：

Coupled van der Pol Oscillators; Consensus; Floquet Theory; Morse Potential; Linear and Nonlinear Protocols;

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：

In this paper, we focus on the consensus problem of coupled van der Pol oscillators under linear and nonlinear protocols respectively. For the linear protocol case, a matrix spectral radius condition guaranteeing consensus is derived by means of linearization method and Floquet theory. For the case of nonlinear protocols based on Morse potential, the effects of attractive and repulsive features of the protocols on consensus are discussed. Numerical simulations reveal interesting phenomena in nonlinear protocols case. One is group consensus, that is, the coupled oscillators split into groups and achieve consensus within each group, and the other is related to the loss of inherent relaxation oscillations in certain individual oscillators.

引用

页码：1123 / 1128

页数：6

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