【摘要】 讨论了一类具有空间扩散和年龄结构的时变种群系统的最优分布控制问题,证明了最优分布控制的存在唯一性,并给出了控制u为最优的充分必要条件及其由积分-偏微分方程组和变分不等式组成的特征表述-最优性组.系统的最优控制u∈Uad是由最优性组所确定的.更多还原

【Abstract】 The optimal distributed control problem in a class of time-varying population system with spatial diffusion and age-structure is discussed. The existence and uniqueness of the optimal distributed control is proved and the necessary and sufficient conditions for a control u to be optimal and its optimality systems consisting of the partial differential equations and variational inequalities are obtained. The optimal control is determined by the optimality systems.更多还原