| 关于一维线性系统的逆 |
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| 引用本文： | 张新建.关于一维线性系统的逆[J].国防科技大学学报,1998,20(2):109-113. |
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| 作者姓名： | 张新建 |
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| 作者单位： | 国防科技大学系统工程与数学系 |
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| 基金项目： | 国防科技大学试验技术项目 |
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| 摘 要： | 本文对单输入单输出系统给出了可逆性的判断准则，建立了新的降阶逆系统的构造方法。这种新的降阶逆系统与以往的降阶逆系统相比，阶数更低了、构造更加简单，而且揭示了可观测性矩阵的秩与逆系统的阶之间的联系。最后用例子说明了这一方法。
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| 关 键 词： | 线性系统，逆系统，可逆性判断，降阶逆系统 |
| 收稿时间： | 9/8/1997 12:00:00 AM |
On the Inversion of Linear Systems |
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| Zhang Xinjian.On the Inversion of Linear Systems[J].Journal of National University of Defense Technology,1998,20(2):109-113. |
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| Authors: | Zhang Xinjian |
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| Institution: | Department of Systems Engineering and Applied Mathematics, NUDT, Changsha, 410073 |
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| Abstract: | This paper discusses the invertibility of single-input single output linear systems . A new method for construction the reduced inverse systems is derived. Compared with the reduced inverse systems given by H.L.Silverman,our new reduced inverse systems have lower order|simpler structure and reveals the connection between the rank of observability matrices and the order of inverse systems. |
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| Keywords: | linear system criterion for invertibility reduced inverse system |
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