| 年龄相关的时变种群系统最优边界控制计算的惩罚移位法 |
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| 引用本文： | 付军,闫淑坤,吕显瑞.年龄相关的时变种群系统最优边界控制计算的惩罚移位法[J].吉林大学学报(理学版),2010,48(2):177-182. |
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| 作者姓名： | 付军 闫淑坤 吕显瑞 |
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| 作者单位： | 1. 吉林师范大学 数学学院, 吉林 四平 136000,2. 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 国家自然科学基金(批准号:10871039);;吉林省教育厅“十一五”科研项目基金(批准号:[2009]第188号) |
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| 摘 要： | 应用惩罚移位法研究一类时变种群系统最优边界控制的计算问题.用p和u作为两个相互独立变量的无约束极小化问题的解簇{(pm,um)}逼近有约束极小化问题的解(p(u),u),得到了其解的逼近序列,求得最优控制u的近似值um,并证明了该逼近序列的收敛性.
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| 关 键 词： | 惩罚移位法 时变种群系统 最优边界控制 |
| 收稿时间： | 2009-05-18 |
Penalty Shifting Method on Calculation of Optimal Boundary Control for Time-Varying Population System with Age-Dependence |
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| FU Jun,YAN Shu-kun,L Xian-rui.Penalty Shifting Method on Calculation of Optimal Boundary Control for Time-Varying Population System with Age-Dependence[J].Journal of Jilin University: Sci Ed,2010,48(2):177-182. |
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| Authors: | FU Jun YAN Shu-kun L Xian-rui |
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| Institution: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The calculation of optimal boundary control for a class of time-varying population system with age-dependence was studied by penalty shifting method.Using the solutions {(pm,um)} of the unconstraint minimization question to approach the solution (p(u),u) of the restraint,p and u as independent variable,the authors obtained the approximation sequence and found the approximate solution um of optimal boundary control u for the system and proved the convergence of the sequence. |
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| Keywords: | penalty shifting method time-varying population system optimal boundary control |
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