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  

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

作　　者：付军[1] 闫淑坤[1] 吕显瑞[2] 

机构地区：[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

出　　处：《吉林大学学报（理学版）》2010年第2期177-182,共6页Journal of Jilin University:Science Edition

基　　金：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)

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.The calculation of optimal boundary control for a age-dependence was studied by penalty shifting method. U minimization question to approach the solution （p （ u）, u） sing of th the authors obtained the approximation sequence and found the class of time-varying population system with the solutions { （pm,um） } of the unconstraint e restraint, p and u as independent variable, approximate solution um of optimal boundary control u for the system and proved the convergence of the sequence.

关 键 词：惩罚移位法 时变种群系统 最优边界控制 

分 类 号：O231.4[理学—运筹学与控制论]