| 切换线性奇异系统能达的必要条件 |
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| 引用本文： | 孟斌,张纪峰.切换线性奇异系统能达的必要条件[J].航空学报,2005,26(2):224-228. |
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| 作者姓名： | 孟斌 张纪峰 |
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| 作者单位： | 中国科学院 数学与系统科学研究院, 北京 100080 |
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| 基金项目： | 国家自然科学基金(60274021,60221301,60334040)资助项目 |
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| 摘 要： | 在各子系统正则的条件下研究了切换线性奇异系统的能达性问题。对给定的切换序列定义了容许控制集合,以保证在该容许控制集合中的任意控制律的作用下,相应切换系统的状态都是连续的。基于切换线性奇异系统状态方程解的结构特点,定义了一系列子空间。利用所定义的子空间是循环不变子空间的特点,得到了切换线性奇异系统能达的必要条件。所给的必要条件涵盖了常规切换系统和非切换奇异系统的能达性必要条件。
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| 关 键 词： | 切换系统 奇异系统 线性系统 能达性 容许性 |
| 文章编号： | 1000-6893(2005)02-0224-05 |
| 收稿时间： | 2004-08-30 |
| 修稿时间： | 2004年8月30日 |
Necessary Condition for Reachability of Switched Linear Singular Systems |
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| MENG Bin,ZHANG Ji-Feng.Necessary Condition for Reachability of Switched Linear Singular Systems[J].Acta Aeronautica et Astronautica Sinica,2005,26(2):224-228. |
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| Authors: | MENG Bin ZHANG Ji-Feng |
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| Institution: | Academy of Mathematics and Systems Science,Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The reachability problem of switched linear singular (SLS) systems is investigated under the regularity assumption of all subsystems. To ensure the continuity of the states of the SLS systems,for a given switching sequence an admissible control set is introduced. Based on the structure characteristics of the solution of the SLS system state equation, a series of subsystems are defined. By using the circular invariant characteristic of the defined subspaces,a necessary condition on complete reachability is given, which includes the existing conditions given for conventional (non-singular) switched systems and normal (non-switching) singular systems as its special cases. |
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| Keywords: | switched systems singular systems linear systems reachability admissibility |
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