| 倒向微分方程在一类奇异最优控制中的应用 |
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| 引用本文： | 刘国华,朱经浩.倒向微分方程在一类奇异最优控制中的应用[J].同济大学学报(自然科学版),2013,41(11):1751-1754. |
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| 作者姓名： | 刘国华 朱经浩 |
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| 作者单位： | 同济大学 数学系,上海 200092;上海理工大学 理学院,上海 200093;同济大学 数学系,上海 200092 |
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| 摘 要： | 利用Krotov方法把一类奇异最优控制问题转化为一族球约束的全局优化问题,然后引入一族初值连续依赖于时间参量的倒向微分方程,给出相应的全局优化问题的解析解,用以构造最优控制的解析表达式.
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| 关 键 词： | 奇异最优控制 全局优化 倒向微分流 |
| 收稿时间： | 2012/10/26 0:00:00 |
| 修稿时间： | 2013/6/26 0:00:00 |
Solution to Singular Optimal Control by Canonical Backward Differential Equation |
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| LIU Guohua and ZHU Jinghao.Solution to Singular Optimal Control by Canonical Backward Differential Equation[J].Journal of Tongji University(Natural Science),2013,41(11):1751-1754. |
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| Authors: | LIU Guohua and ZHU Jinghao |
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| Institution: | tongji university |
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| Abstract: | In this paper, an singular optimal control problem is solved by Krotov Extension method and canonical backward differential flows.
By using Krotov equivalent transformation, the cost functional of the problem is converted to a class of global optimization problems which are solved by a class of backward differential equations with initial values relying on the time point $t$ continuously. |
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| Keywords: | Singular optimal control Global optimization |
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