| 具有空间扩散且与年龄相关的时变种群系统的最优边界控制 |
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| 引用本文： | 陈任昭,张丹松. 具有空间扩散且与年龄相关的时变种群系统的最优边界控制[J]. 系统工程理论与实践, 2000, 20(11): 35-45. DOI: 10.12011/1000-6788(2000)11-35 |
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| 作者姓名： | 陈任昭 张丹松 |
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| 作者单位： | (1)东北师范大学数学系;(2)北京信息控制研究所 |
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| 基金项目： | 国家自然科学基金!( 1 9671 0 1 5) |
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| 摘 要： | 研究具有空间扩散且与年龄相关的时变种群系统的最优边界控制 ,证明了控制为最优的充分必要条件 ,得到了最优性组 ,同时还研究了处罚移位法应用于本系统问题的近似解 .
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| 关 键 词： | 种群系统 空间扩散 最优控制 |
| 修稿时间： | 1998-12-16 |
Optimal Boundary Control for Time-Varying Population System with Spatial Diffusion and Age-Dependence |
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| CHEN Ren-zhao,ZHANG Dan-song. Optimal Boundary Control for Time-Varying Population System with Spatial Diffusion and Age-Dependence[J]. Systems Engineering —Theory & Practice, 2000, 20(11): 35-45. DOI: 10.12011/1000-6788(2000)11-35 |
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| Authors: | CHEN Ren-zhao ZHANG Dan-song |
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| Affiliation: | (1)Department of Mathematics; Northeast Normal University;(2)Beijing Institute of Information Processing and Control |
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| Abstract: | This paper discusses the optimal boundary control of time|varying population system with spatial diffusion and age|dependence, proves the necessary and sufficient condition for a control to be optimal and obtains the optimality system. And the application of penalty shifting method to the approximate solution of control problems for the system is researched. |
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| Keywords: | population system spatial diffusion optimal cont |
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