%0 Journal Article
%T Asymptotic behavior of second-order linear multi-agent dynamic systems in directed network<br>有向网络下二阶线性多个体动力学系统的渐近性
%A JIN Ji-dong
%A ZHENG Yu-fan
%A <br>金继东
%A 郑毓蕃
%J 控制理论与应用
%D 2011
%I 
%X This paper investigates the asymptotical behavior of second-order linear multi-agent dynamic systems in a direct communication network, and the configuration relation between those systems and the system structure. We use the notion of inertia in classical mechanism to describe the asymptotic behavior of second-order systems. When the parameters of position-control and the parameters of velocity-control of the system satisfy some conditions, the system approaches to the inertia-state. Meanwhile, the basic independent systems uniformly approach to the individual inertia-states which are determined by system initial-conditions and Laplacian left-eigenvectors associated with the zero eigenvalue; while the dependent systems reach some inertia-states in the convex-combination of individual inertia-states of independent systems.
%K Frobenius canonical form
%K diagonally dominant
%K inertia
%K weighted center
%K convex combination<br>Frobenius标准型
%K 对角占优
%K 惯性
%K 带权中心
%K 凸组合
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=168F9F3BDD6A61EE9C104D3F3607308B&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=38B194292C032A66&sid=E39A3F4E3A67639B&eid=BF112261B65CB9C9&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=9