| 连续线性时不变系统的可半稳定性 |
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| 引用本文： | 贺永春,刘婷婷.连续线性时不变系统的可半稳定性[J].榆林高等专科学校学报,2014(6):40-46. |
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| 作者姓名： | 贺永春 刘婷婷 |
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| 作者单位： | 1. 榆林学院 数学与统计学院,陕西 榆林,719000
2. 陕西师范大学 数学与信息科学学院,陕西 西安,710119 |
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| 摘 要： | 研究了连续线性时不变系统的可半稳定性。首先，基于矩阵的 Jordan 分解，给出了系统是半稳定的充要条件，由于0是半单特征值在研究系统半稳定性中的重要性，给出了0是半单特征值的两个充要条件。其次，基于系统的能控性分解，给出了系统是可半稳定的几个充要条件。最后通过数值算例验证了结果的可行性。
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| 关 键 词： | 能控性 半稳定性 可半稳定性 半单的 |
Semistabilization of Linear Continuous Time - invariant Systems |
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| HE Yong-chun,LIU Ting-ting.Semistabilization of Linear Continuous Time - invariant Systems[J].Journal of Yulin College,2014(6):40-46. |
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| Authors: | HE Yong-chun LIU Ting-ting |
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| Institution: | HE Yong-chun, LIU Ting-ting ( 1. Department of Mathematics and Applied Mathematics, Yulin Univerisity, Yulin 719000, China; 2. School of Mathematics and Information, Shaanxi Normal University, Xi＇an 710119, China) |
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| Abstract: | Semistabilization of linear continuous time - invariant systems is investigated. Firstly,some sufficient and necessary conditions for semistability are given based on the Jordan decomposition. Because it is important that 0 is a semisimple eigenvalue in studying the semistability,two sufficient and necessary conditions are given. Secondly, based on controllability decomposition,several necessary and sufficient conditions are obtained for semistabiliza-tion. Finally,a numerical example is given to verify the feasibility of the obtained results. |
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| Keywords: | controllability semistability semistabilization semisimple |
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