一类非线性时变种群扩散系统的最优边界控制问题(Ⅱ)  

Optimal Boundary Control Problem for a Class of Non-linear Time-varying Population Diffusion Systems(Part Ⅱ)

作　　者：卜红彧[1] 

机构地区：[1]辽东学院师范学院,辽宁丹东118003

出　　处：《辽东学院学报（自然科学版）》2014年第1期50-52,共3页Journal of Eastern Liaoning University:Natural Science Edition

摘　　要：讨论了一类非线性时变种群扩散系统含分布观测的最优边界控制问题,给出了控制为最优的必要条件和最优性组,建立了表征最优控制的Euler-Lagrange组,得出了该系统含最终状态观测的最优控制问题的一些结论.The optimal boundary control problem for a class of non -linear time-varying population diffusion systems with distributed observation is discussed .The necessary conditions for optimal control and the optimality systems are obtained .An Euler-Lagrange system to characterize optimal control is also established .Finally , some conclusions to the optimal control problem for these systems with final state observation are obtained .

关 键 词：非线性时变种群扩散系统 最优边界控制 存在性 最优性组 

分 类 号：O231.4[理学—运筹学与控制论]