Controllability of Switched Linear Systems

作     者：Qiao Yupeng,Cheng Daizhan Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China 

会议名称：《第二十六届中国控制会议》

会议日期：2007年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by NNSF 60674022 60221301 60334040 of China 

关 键 词：Switched linear system controllability Lie algebra 

摘      要：This paper considers the controllability of switched linear *** largest controllable subspace,C,of a switched linear system is well known [6].This paper shows that when the system is not completely controllable,C divides the state space into 2 or 3 path-wise connected invariant *** we consider whether each path-wise connected component is a controllable *** sufficient conditions are obtained for each sub-manifold to be a controllable sub-manifold.A few examples are given to demonstrate the result.