| 确定性跳变系统的最优控制问题 |
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| 引用本文： | 郭磊. 确定性跳变系统的最优控制问题[J]. 山东大学学报(理学版), 2007, 42(7): 82-86 |
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| 作者姓名： | 郭磊 |
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| 作者单位： | 山东经济学院,统计与数学学院,山东,济南,250014 |
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| 摘 要： | 在统一的混合系统的模型下，提出了确定性跳变系统的最优控制问题，当系统的控制受约束以及光滑性条件减弱时，用连续系统的方法研究了其最优控制问题，证明了确定性跳变系统在整个演化时间上满足最大值原理，在跳变点上满足相应的跳变条件．
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| 关 键 词： | 确定性跳变系统 最优控制 最大值原理 |
| 文章编号： | 1671-9352（2007）07-0082-05 |
| 修稿时间： | 2006-08-01 |
The optimal control problem of deterministic jumping transition systems |
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| GUO-Lei. The optimal control problem of deterministic jumping transition systems[J]. Journal of Shandong University, 2007, 42(7): 82-86 |
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| Authors: | GUO-Lei |
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| Affiliation: | Department of Mathematics and Statistics, Shandong Institute of Economics, Jinan 250014, Shandong, China |
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| Abstract: | Under the unified model of hybrid control systems, the optimal control problem of deterministic jumping transition sys-tems is put forth. When the control is restricted and the assumptions are weakened, the optimal control problem of deterministic jumping transition systems is studied by utilizing the continuous systems method. The maximum principle is proved on the whole time space. The jumping conditions are obtained at jumping times. |
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| Keywords: | deterministic jumping transition systems optimal control maximum principle |
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