| 控制幅值受限下一类带扰动的线性系统能控性的研究 |
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| 引用本文： | 陈兆宽,王志勇,刘希腾. 控制幅值受限下一类带扰动的线性系统能控性的研究[J]. 福州大学学报(自然科学版), 1993, 0(5): 66-71 |
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| 作者姓名： | 陈兆宽 王志勇 刘希腾 |
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| 作者单位： | 山东大学数学系，山东大学数学系，山东大学数学系 济南，250100，济南，250100，济南，250100 |
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| 摘 要： | 研究控制幅值受限下线性系统在某类扰动作用下的能控性问题，给出这类系统的初始状态x0有限时间能控的充要条件；给出了系统完全能控时，状态矩阵A的特征值所要满足的必要条件；最后，对一类特殊系统给出了完全能往的充分条件．
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| 关 键 词： | 控制幅值受限 带扰动 能控性 |
On Controllability of the Linear System with Disturbance in Constraint of Control Amplitude |
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| Chen Zhaokuan,Wang Zhiyong,Liu Xiteng. On Controllability of the Linear System with Disturbance in Constraint of Control Amplitude[J]. Journal of Fuzhou University(Natural Science Edition), 1993, 0(5): 66-71 |
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| Authors: | Chen Zhaokuan Wang Zhiyong Liu Xiteng |
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| Affiliation: | Chen Zhaokuan;Wang Zhiyong;Liu Xiteng (Department of Mathematics, Shandong University, Jinan, 250100) |
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| Abstract: | The problem of the controllability of the linear system with a certain class of dis- turbance in the constraint or the control amplitude is discussed. The necessary and sufficient condition of the controllability is procured in a finite time for the initial state of this system.As for the perfect controllable system, the necessary condition satisfied by the eigenvalue of the state matrix A is now given. Finally the sufficient condition of the perfect controllability for a special class of the system is also achieved. |
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| Keywords: | control amplitude constraint disturbance controllability |
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