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.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
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)
关键词
惩罚移位法
时变种群系统
最优边界控制
penalty shifting method
time-varying population system
optimal boundary control