%0 Journal Article
%T The construction of control Lyapunov functions for linear multivariable systems<br>线性多变量系统的控制Lyapunov函数构造
%A CAI Xiu-shan
%A HAN Zheng-zhi
%A L?U Gan-yun
%A WANG Xiao
%A <br>蔡秀珊
%A 韩正之
%A 吕干云
%A 王 霄
%J 控制理论与应用
%D 2009
%I 
%X A universal method for constructing control Lyapunov functions (CLF) for a linear multivariable system is presented. Firstly, we show that every quadratic control Lyapunov function can be obtained by solving the Lyapunov equation. Then, we prove that this method can generate all quadratic control Lyapunov functions for a given linear system. Finally, it is shown that if there is a control Lyapunov function then there must be a quadratic control Lyapunov function. Thus, the problem of constructing control Lyapunov functions for linear systems is solved completely.
%K linear systems
%K control Lyapunov functions
%K Yokoyama canonical form
%K feedback stabilization<br>线性系统
%K 控制Lyapunov函数
%K Yokoyama标准形
%K 反馈镇定
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=BBE06A79470931C1BC5A9F8380518C55&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=CA4FD0336C81A37A&sid=D997634CFE9B6321&eid=771152D1ADC1C0EB&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=9