研究一类具有Size结构的非线性种群系统的最优控制问题.利用Ekeland变分原理和共轭系统证明了最优控制的存在性,并借助法锥概念得到了最优控制的必要洼条件.
The optimal control for a kind of nonlinear Size-structured population systems is studied. The existence of the optimal control is proved by using Ekeland's variational principle and adjoint system, and by means of the concept of the normal cone, the necessary conditions of optimality is obtained.