周期环境下具有年龄结构种群动力系统的最优控制

Optimal control of population dynamic system with age-structure in periodic environment

在周期环境下,研究一类具有年龄结构种群线性动力系统的最优控制问题.利用Mazur’s定理,证明最优控制问题最优解的存在性,由法锥概念的特征刻画,得到最优控制问题最优解存在的必要条件.

The optimal control problem of linear population dynamic system with age-structure in periodic environment was investigated. The existence of solutions of the optimal control problem was proved with Mazur＇s theorem, and the necessary condition of its existence was obtained by means of characterization of the conception of normal cone.