user

Upper Semicontinuity of the Solution Map to a Parametric Elliptic Optimal Control Problem

被引：4
|
作者：
Son, N. H. [1 ]
Giang, N. B. [2 ]
机构：
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam
[2] Natl Univ Civil Engn, Fac Informat Technol, 55 Giai Phong Str, Hanoi, Vietnam
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2021年 / 29卷 / 02期
关键词：
Parametric optimal control; Solution stability; Upper semicontinuity; Continuity; Mixed pointwise constraint; CONTROL PROBLEMS SUBJECT; LIPSCHITZ STABILITY; SENSITIVITY-ANALYSIS; BOUNDARY CONTROL;
D O I：
10.1007/s11228-020-00546-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies solution stability of a parametric optimal control problem governed by semilinear elliptic equations and nonconvex objective function with mixed pointwise constrains in which the controls act both in the domain and on the boundary. We give sufficient conditions under which the solution map is upper semicontinuous and continuous in parameters.
引用
收藏
页码：1 / 26
页数：26
相关论文
共 50 条
12345