反应堆系统散射截面的最优控制

The Optimal Control of the Scattering Cross Section on Nuclear Reactor Systems

本文讨论基子单速平板几何各向同性、带广义自反边界条件迁移方程所支配的原子核反应堆系统散射截面的最优控制问题。本文把散射截面当作控制变量，以“范数最小”来衡量散射控制变量的最优性，在一定条件下，证得最优散射截面控制的存在性。

In this article. we discuss the optimal control problems of the scattering cross section on nuclear reactor systems govened by the monoenergetic steady-state isotropic transport equation. Throughout the discussion, we regard the scattering cross section function as control variable, and judge its the optimality by ' norm minimum'. We prove the existence of the optimal scattering cross section control under the given condition.