摘要
本文讨论基于单能静态各向同性迁移方程的原子核反应堆系统的最优控制问题.本文把散射裂变截面函数当作控制变量,在一定条件下,证得最优控制的存在唯一性.本文最后给出最优散射裂变截面控制存在的一个必要条件.
In this paper,we discuss the optimal control problems of the nuclear reactor systems govened by the monoenergetic steady-state isotropic transport equation: s. grad.Φ(x,s) In this paper,we regard the scattering-fission cross section function as control variable. Under the given condition, we have proved the existence and uniqueness of the optimal control,and finally have given a necessary condition that the optimal control variable exists.
出处
《纯粹数学与应用数学》
CSCD
1995年第1期72-77,共6页
Pure and Applied Mathematics
关键词
反应堆
最优控制
散射裂变截面
迁移方程
nuclear reactor
optimal control
scattering - fission cross section
transport equation
dual mapping