LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM

Tạp chí Khoa học Đại học Đà Lạt

Jen Chih Yao¹  Mu Ming Wong²  Bùi Trọng Kiên³  Nguyễn Thị Toàn⁴ 

[1] Centre for General Education, Kaohsiung Medical University;Department of Applied Mathematics, Chung Yuan Christian University;Department of Information and Technology, Hanoi National University of Civil Engineering;Department of Mathematics, Vinh University;

关键词: Parametric optimal control;    Solution stability;    Lower semi-continuity;    Variational inequality;   

DOI  :  10.37569/DalatUniversity.2.3.203(2012)

来源: DOAJ

【 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 semi-continuity of the solution map to a parametric optimal control problem.

【 授权许可】

Unknown