%0 Journal Article
%T Unbounded polyhedral invariant sets for linear control systems<br>线性控制系统的无界多面体不变集
%A ZHANG Xia
%A GAO Yan
%A XIA Zun-quan
%A <br>张霞
%A 高岩
%A 夏尊铨
%J 控制理论与应用
%D 2011
%I 
%X The nonsmooth analysis methods are applied to investigate the unbounded polyhedral invariant sets for linear control systems. When the extreme directions of an unbounded polyhedron satisfy some conditions, we derive the criterion for that unbounded polyhedron to be a weak invariant set for a class of linear control systems. The sufficient condition is also obtained for the unbounded polyhedron to be the strong invariant set for more general linear control systems. Two applied examples are given for illustration.
%K linear control systems
%K invariant set
%K polyhedron
%K nonsmooth analysis<br>线性控制系统
%K 不变集
%K 多面体
%K 非光滑分析
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=F67BB83379CA90555EA9B677465F0EB1&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=B31275AF3241DB2D&sid=3893EBCAC6700388&eid=750AE535ABE3D62A&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=18