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

J4 ›› 2010, Vol. 48 ›› Issue (02): 177-182.

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

付军¹, 闫淑坤¹, 吕显瑞²

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

收稿日期:2009-05-18 出版日期:2010-03-26 发布日期:2010-03-22
通讯作者: 付军 E-mail:jlfj8080@yahoo.com.cn

Penalty Shifting Method on Calculation of Optimal Boundary Controlfor TimeVarying Population System with AgeDependence

FU Jun¹, YAN Shukun¹, L Xianrui²

1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2009-05-18 Online:2010-03-26 Published:2010-03-22
Contact: FU Jun E-mail:jlfj8080@yahoo.com.cn

摘要/Abstract

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{(p_m,u_m)}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u_m, 并证明了该逼近序列的收敛性.

关键词: 惩罚移位法；时变种群系统；最优边界控制

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 {(p_m,u_m)} 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 u_m of optimal boundary control u for the system and proved the convergence of the sequence.

Key words: penalty shifting method, timevarying population system, optimal boundary control

中图分类号:

O231.4

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]. J4, 2010, 48(02): 177-182.

FU Jun, YAN Chu-Kun, LV Xian-Rui. Penalty Shifting Method on Calculation of Optimal Boundary Controlfor TimeVarying Population System with AgeDependence[J]. J4, 2010, 48(02): 177-182.