摘要
本文把混凝土坝温度控制问题抽象为由抛物偏微分方程所支配的系统的最优点控制问题,证明了控制为最优的充分必要条件,并给出了由偏微分方程和变分不等式构成的最优性组。
The present paper presents the optimal pointwise control problem of the system governed by parabolic partial differential equation from the temperature control problem of concrete dams. It proves the necessary and sufficient conditions for a control to be optimal and gives the optimality system consisting of partial differential equations and variational inequalities.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
1992年第3期1-6,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
混凝土坝
偏微分方程
温度控制
concrete dams, partial differential equation, variational inequality, optimal pointwise control.