On Controllability of Switched Linear Systems
On Controllability of Switched Linear Systems
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DOI：
10.1109/tac.2002.801182
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发表时间：
2002-11
影响因子：
6.8
通讯作者：
G. Xie;D. Zheng;Long Wang
中科院分区：
文献类型：
--
作者：
G. Xie;D. Zheng;Long Wang
研究了开关线性系统的开关个数和开关序列的设计，以保证系统的可控性。建立了两个相关结果。其一是设计开关序列的一种新的建设性方法。通过该方法设计的每个切换序列的可控状态集与切换线性系统的可控子空间重合。另一个是可控性所需的最小开关数的良好估计值。可控子空间中的每个状态都可以在这个切换时间内被引导到原点。
This paper investigates the number of switchings and design of switching sequences for controllability of switched linear systems. Two related results are established. One is a new constructive approach to designing switching sequences. The controllable state set of each switching sequence designed via the approach coincides with the controllable subspace of switched linear systems. The other is a well-estimated value for the minimum number of switchings required for controllability. Each state in the controllable subspace can be steered to origin within this value of switching times.