摘要
本文讨论扰动区域上椭圆型方程的最优控制问题。应用区域扰动下Sobolev空间的理论证明了,当微分算子的定义域在一定意义下逼近于某个固定的区域时,相应的最优控制和最优解也按某种扑拓收敛。
This paper is concerned with the optimal control of systems decribed by an elliptic partial differential equation under perturba-tion of domains. By using the Sobolev space theory under perturbed domains, it is shown that the optimal control and corresponding optimal solution depend continuously on the domain under certain conditions.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1989年第Z01期42-50,共9页
Control Theory & Applications
基金
中国科学院科学基金
