| 奇异系统的能控性 |
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| 引用本文： | 许可康.奇异系统的能控性[J].系统科学与数学,1987,7(1):023-026. |
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| 作者姓名： | 许可康 |
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| 作者单位： | 中国科学院系统科学研究所 |
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| 摘 要： | 对于 det E=0的奇异线性控制系统E(?)=Ax Bu,(1)我们总假定矩阵束(sE—A)是正则的,即总假定 det(sE—A)(?)0。由微分方程理论知,在此条件下,对系统(1)所容许的初始值,当 u(t)是足够多次可微时,上述方程总是有解的。
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ON CONTROLLABILITY OF SINGULAR SYSTEMS |
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| XU KE-KANG.ON CONTROLLABILITY OF SINGULAR SYSTEMS[J].Journal of Systems Science and Mathematical Sciences,1987,7(1):023-026. |
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| Authors: | XU KE-KANG |
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| Institution: | Institute of Systems Science,Academia Sinica |
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| Abstract: | In this paper we study the relations between different controllabilities for singular sys-tems.The main result is as follows:C-controllable\Rightarrow Strong controllable\Rightarrow R-controllable\Leftrightarrow \mathcal{D}_0 controllable\Leftrightarrow \mathcal{D}_2 controllable\Rightarrow \mathcal{D}_1 controllable.And we also givethe criterion for the C-controllability of singular systems. |
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