| 双线性系统的Hamilton扩张系统 |
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| 引用本文： | 姬兴民. 双线性系统的Hamilton扩张系统[J]. 西北师范大学学报(自然科学版), 2007, 43(4): 13-16 |
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| 作者姓名： | 姬兴民 |
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| 作者单位： | 西安邮电学院数理系,陕西西安710061 |
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| 基金项目： | 陕西省自然科学基金;陕西省教育厅资助项目 |
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| 摘 要： | 研究了双线性系统和它的Hamilton扩张系统的弱能控性之间的关系以及它们的能观性之间的关系，证明了双线性系统的Hamilton扩张系统是弱能控的当且仅当原双线性系统既是弱能控的又是能观的．同时给出了双线性系统的Hamilton扩张系统不能观的条件．
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| 关 键 词： | 双线性系统 Hamilton扩张 能控性 能观性 |
| 文章编号： | 1001-988X（2007）04-0013-04 |
| 修稿时间： | 2007-01-112007-05-23 |
The Hamiltonian extension of bilinear systems |
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| JI Xing-min. The Hamiltonian extension of bilinear systems[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2007, 43(4): 13-16 |
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| Authors: | JI Xing-min |
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| Abstract: | The relation between the weak controllability of bilinear systems and weak controllability of Hamiltonian extension system is studied. At the same time, the relation between the observability of bilinear systems and observability of Hamiltonian extension system is studied. It is proved that the Hamiltonian extension of bilinear system is controllable if and only if the bilinear system is controllable and observable. The condition that Hamiltonian extension system is not observable is given. |
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| Keywords: | bilinear system Hamiltonian exetension controllability observabilitv |
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