CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS ( Ⅲ )--MULTIPLE TIME-DELAY CASE

CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS ( Ⅲ )--MULTIPLE TIME-DELAY

CASE

谢广明;王龙;叶庆凯

【期刊名称】《应用数学和力学（英文版）》

【年(卷),期】2003(024)009

【摘要】The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains three parts. This is the third part. The definition and determination of controllability of switched linear systems with multiple time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the oneperiodic, multiple-periodic controllability of periodic-type systems and controllability of aperiodic systems are presented, respectively. Finally, the case of distinct delays is discussed, it is shown that the controllability is independent of the size of delays.

【总页数】12页(1063-1074)

【关键词】hybrid dynamic system;switched linear system;time-delay;controllability;controllable set;switching sequence;switching path 【作者】谢广明;王龙;叶庆凯

【作者单位】Department of Mechanics and Engineering Science,Peking University, Beijing 100871, P.R.China;Department of Mechanics and Engineering Science,Peking University, Beijing 100871,