| 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.[点击复制] |
| Zhang Xinjian.On the Inversion of Linear Systems[J].Journal of National University of Defense Technology,1998,20(2):109-113[点击复制] |
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| 本文已被：浏览 5698次 下载 6267次 |
| 关于一维线性系统的逆 |
| 张新建 |
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(国防科技大学 系统工程与数学系 湖南 长沙 410073)
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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。 |
| 关键词: 线性系统, 逆系统, 可逆性判断, 降阶逆系统 |
| DOI： |
| 投稿日期：1997-09-08 |
| 基金项目:国防科技大学试验技术项目资助 |
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| On the Inversion of Linear Systems |
| Zhang Xinjian |
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(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. |
| Keywords: linear system, criterion for invertibility, reduced inverse system |
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