%0 Journal Article
%T Reachability of Affine Systems on Polytopes<br>多面体上彷射系统可达性问题研究
%A WU Min
%A YAN Gang-Feng
%A LIN Zhi-Yun
%A <br>吴敏
%A 颜钢锋
%A 林志赟
%J 自动化学报
%D 2009
%I 
%X The paper studies reachability problem of autonomous affine systems on n-dimensional polytopes. Our goal is to obtain both the largest positive invariant set in the polytope and the backward reachable set (the attraction domain) of each facet. Special attention is paid to the largest stable invariant affine subspace. After presenting several useful properties of those sets, a partition procedure is given to determine the largest positive invariant set in the polytope and all the attraction domains of facets.
%K Reachability
%K polytope
%K invariant set
%K attraction domain
%K piecewise affine hybrid systems<br>可达性
%K 多面体
%K 不变集
%K 吸引域
%K 分段仿射混杂系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=93FD1E8F97ACA306BFD091EDAF87CE05&yid=DE12191FBD62783C&vid=6209D9E8050195F5&iid=59906B3B2830C2C5&sid=6A46E5A5880213FE&eid=2838795948C22802&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=0