| 时变线性系统关于p-可积控制的能达集 |
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| 引用本文： | 谭志加. 时变线性系统关于p-可积控制的能达集[J]. 复旦学报(自然科学版), 2006, 45(2): 224-229 |
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| 作者姓名： | 谭志加 |
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| 作者单位： | 复旦大学,数学研究所,上海,200433 |
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| 基金项目： | Project supported by NSFC(10371024) |
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| 摘 要： | 讨论了时变线性控制系统当控制为p可积函数时相应的能达集与指标p的关系.经过证明,得到控制系统关于p-可积控制的能达集一般会随指标p不同而变化,但是这种变化的次数是有限的.
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| 关 键 词： | 能达集 控制系统 p-可积控制 |
| 文章编号： | 0427-7104（2006）02-0224-06 |
| 收稿时间： | 2005-06-24 |
| 修稿时间： | 2005-06-24 |
On the Attainable Sets of Linear Time-Variant Control Systems with p-Integrable Controls |
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| TAN Zhi-jia. On the Attainable Sets of Linear Time-Variant Control Systems with p-Integrable Controls[J]. Journal of Fudan University(Natural Science), 2006, 45(2): 224-229 |
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| Authors: | TAN Zhi-jia |
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| Affiliation: | Institute of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | The relationship between the attainable set of linear time-variant system with p-integrable controls and index p is discussed.Generally,the attainable set changes if p changes.By discussion,it can be proved that under suitable assumptions the changing times of the attainable set is finite.That is to say,the attainable set changes on some finite points of p. |
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| Keywords: | attainable sets control systems p-integrable controls |
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