具状态观测的非线性种群系统的最优控制  

Optimal Control for a Nonlinear Population Dynamics with State Observation

作　　者：顾建军[1] 王晓明[2] 

机构地区：[1]常熟理工学院数学系,江苏常熟215500 [2]无锡工艺职业技术学院基础部,江苏宜兴214206

出　　处：《常熟理工学院学报》2009年第2期25-29,共5页Journal of Changshu Institute of Technology

摘　　要：研究了由积分偏微分方程描述的具有年龄结构的非线性种群系统的最优控制问题.由紧性定理和Mazur's定理证明了控制问题最优解的存在性,同时借助于法锥概念,还得到了控制问题最优解存在的必要条件.The optimal control problem for the age-dependent nonlinear population dynamics represented by integral partial differential equations is discussed. By compactness theorem and Mazur＇s theorem, existence of solutions of the optimal control problem is demonstrated and by the conception of normal cone, we also obtain the first order necessary conditions of optimality for the problem.

关 键 词：最优控制 积分-偏微分方程 年龄结构 Pontryagin's原理 

分 类 号：O231.4[理学—运筹学与控制论]