| 由偏微支配的系统的最优控制理论中的奇异摄动方法* |
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| 引用本文： | 田根宝 林宗池. 由偏微支配的系统的最优控制理论中的奇异摄动方法*[J]. 应用数学和力学, 1994, 15(8): 679-684 |
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| 作者姓名： | 田根宝 林宗池 |
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| 作者单位： | 1.上海铁道学院数学科; |
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| 基金项目： | 国家自然科学基金和福建省科学基金 |
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| 摘 要： | 本文介绍了由偏微分方程支配的系统的最优控制理论中有关应用奇异摄动方法时出现的各种问题。考虑了渐近分析来自状态方程。或来自性能指标函数,也考虑了状态方程是定义在摄动域内的情形。
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| 关 键 词： | 最优控制 摄动技巧 偏微分方程 |
| 收稿时间： | 1993-05-14 |
Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations |
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| Tian Gen-bao. Singularly Perturbed Methods in the Theory of Optimal Control of Systems Governed by Partial Differential Equations[J]. Applied Mathematics and Mechanics, 1994, 15(8): 679-684 |
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| Authors: | Tian Gen-bao |
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| Affiliation: | 1.Mathematical Section, Shanghai Railway College, Shanghai;2.Department of Mathematics, Fujian Normal University, Fuzhou |
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| Abstract: | In this paper,the various problems associated with the optimal control of systems governed by partial differential cquations are introduced by using singu-larly perturbed methods for analysis based on state equations,or the cost func-tion and also state equations defined in perturbed domains. |
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| Keywords: | optimal control perturbation techniques partial differential equations |
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