摘要
研究线性切换系统的一致能控、能观和能达性.首先给出轨道算子、一致能控状态集和一致能达状态集的概念,然后利用轨道算子、一致能控和一致能达状态集,分别给出了线性切换系统的一致能控、能达和能观性的充要条件.证明了线性切换系统一致完全能控、能达或能观的充要条件是,每一个子系统都是能控、能达或能观的.
The uniform controllability, reachability and observability of linear switched control systems are investigated. First, the concepts of the trajectory operator, uniformly controllable state set and uniformly reachable state set are given respectively. Second, using the trajectory operator and uniformly controllable/reachable state sets, necessary and sufficient conditions for the uniform controllability, reaehability and observability are provided respectively. It is shown that a linear switched control system is uniformly completely controllable （reachable, observable, determinable） if and only if all the subsystems of the switched system are completely controllable （reachable, observable, determinable）.
出处
《山东大学学报（工学版）》
CAS
2007年第1期43-46,98,共5页
Journal of Shandong University（Engineering Science）
关键词
线性切换系统
一致能控性
一致能达性
一致能观性
轨道算子
linear switched system
uniform controllability
uniform reachability
uniform observability
trajectory operator
