| 一类线性切换系统的能控性和能观测性的充要条件 |
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| 引用本文： | 杨磊,李俊民. 一类线性切换系统的能控性和能观测性的充要条件[J]. 系统工程与电子技术, 2003, 25(5): 588-590 |
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| 作者姓名： | 杨磊 李俊民 |
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| 作者单位： | 西安电子科技大学数学系,陕西,西安,710071 |
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| 基金项目： | 陕西省自然科学基金资助课题(2001SL08) |
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| 摘 要： | 循环不变子空间是常用于控制科学和信号处理理论的重要数学工具之一。用循环不变子空间的性质研究了切换系统的能控性和能观测性。先给出了切换系统能控性、能达性和能观测性的概念,并讨论了循环不变子空间的性质。然后用循环不变子空间的性质研究了周期线性切换系统的能控制性、能达性及能观测性,得到线性周期切换系统完全能控和完全能观测的充分必要条件。最后给出一般线性切换系统完全能控和完全能观测的充分条件和必要条件。
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| 关 键 词： | 循环不变子空间 线性切换系统 能控性 能观测性 |
| 文章编号： | 1001-506X(2003)05-0588-03 |
| 修稿时间： | 2002-04-15 |
Sufficient and Necessary Conditions of Controllability and Observability of a Class of Linear Switching System |
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| YANG Lei,LI Jun-min. Sufficient and Necessary Conditions of Controllability and Observability of a Class of Linear Switching System[J]. System Engineering and Electronics, 2003, 25(5): 588-590 |
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| Authors: | YANG Lei LI Jun-min |
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| Abstract: | Recursive invariant subspace is one of the important mathematic tools used in control science and signal processing theory. Controllability and observability of switching systems are studied by using the characteristics of recursive invariant subspace in this paper. The conceptions of controllability, reachability and observability of switching systems are given firstly. Then the characteristics of recursive invariant subspace are discussed. Controllability, reachability and observability of linear periodic switching systems are investigated by using characteristics of invariant subspace. Sufficient and necessary conditions of controllability and observability of them are formulated. At last, sufficient condition and necessary condition of controllability and observability of general linear switching systems are given. |
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| Keywords: | Recursive invariant subspace Linear switching systems Controllability Observability |
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