Sensitivity Analysis of Multi-objective Optimal Control Problems

被引:4
|
作者
Toan, N. T. [1 ]
Thuy, L. Q. [1 ]
机构
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam
来源
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 03期
关键词
Multi-objective parametric optimal control problem; Efficient point multifunction; Mordukhovich normal cone; Mordukhovich subgradients; Mordukhovich subdifferential;
D O I
10.1007/s00245-021-09755-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sensitivity analysis of multi-objective parametric optimal control problems with nonconvex cost functions and control constraints is given in this paper. By establishing an abstract result on the Mordukhovich subdifferential of the efficient point multifunction of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Mordukhovich subdifferential of the efficient point multifunction to a multi-objective parametric optimal control problem.
引用
收藏
页码:3517 / 3545
页数:29
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