LOWER SEMICONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM

被引：16

作者：

Kien, B. T. ^{[2
]}

Toan, N. T. ^{[3
]}

Wong, M. M. ^{[4
]}

Yao, J. C. ^{[1
]}

机构：

[1] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 807, Taiwan

[2] Hanoi Natl Univ Civil Engn, Dept Informat & Technol, Hanoi, Vietnam

[3] Vinh Univ, Dept Math, Vinh City, Vietnam

[4] Chung Yuan Christian Univ, Dept Appl Math, Chungli, Taiwan

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2012年 / 50卷 / 05期

关键词：

parametric optimal control; solution stability; lower semicontinuity; variational inequality; CONSTRAINED OPTIMAL-CONTROL; CONTROL PROBLEMS SUBJECT; STABILITY ANALYSIS; STATE CONSTRAINTS; SENSITIVITY-ANALYSIS;

D O I：

10.1137/110842491

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the solution stability of a parametric optimal control problem with linear state equation, control constraints, and convex cost functions. By reducing the problem to a parametric programming problem and a parametric variational inequality, we obtain the lower semicontinuity of the solution map to a parametric optimal control problem.

引用

页码：2889 / 2906

页数：18

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