| 一类抛物型分布参数系统最优控制的研究 |
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| 引用本文： | 齐润德,瞿寿德,朱广田. 一类抛物型分布参数系统最优控制的研究[J]. 北京科技大学学报, 1987, 0(1) |
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| 作者姓名： | 齐润德 瞿寿德 朱广田 |
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| 作者单位： | 北京钢铁学院自动化系(齐润德，瞿寿德)，中国科学院系统科学研究所(朱广田) |
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| 摘 要： | 本文通过分析线性微分算子A的特征,应用列紧算子半群的性质和毕卡达定理,证明了二次性能指标泛函下一维扩散过程混合线性最优控制的存在性,参照文献具体给出了最优控制律;并且就文献所讨论的结果,作为两种特殊情况进行了验证。
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| 关 键 词： | 分布参数系统 最优控制 抛物型偏微分方程 |
The Study of Optimal Control for Some Parabolic Distributed Parameter Systems |
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| Qi Runde Qu Shoude Zhu Guangtian. The Study of Optimal Control for Some Parabolic Distributed Parameter Systems[J]. Journal of University of Science and Technology Beijing, 1987, 0(1) |
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| Authors: | Qi Runde Qu Shoude Zhu Guangtian |
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| Affiliation: | Qi Runde Qu Shoude Zhu Guangtian |
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| Abstract: | This paper proves the existence of mixed linear optimal control in a quadratic criterion, by analysing the characteristics of linear differential operator A and using the properties of semigroups of compact operators and Picard theorem, for one-dimensional diffusion processes. And then, according to the reference[3], the optimal control law has been given in detail. Besides, the results given in the references[1-2]are discussed as the special cases in the paper. |
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| Keywords: | distrbuted parameter systems optimal control parabolic partial differential equations |
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