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

Authors

  • Bùi Trọng Kiên Department of Information and Technology, Hanoi National University of Civil Engineering, Viet Nam
  • Nguyễn Thị Toàn Department of Mathematics, Vinh University, Viet Nam
  • Mu Ming Wong Department of Applied Mathematics, Chung Yuan Christian University, Taiwan, Province of China
  • Jen Chih Yao Centre for General Education, Kaohsiung Medical University, Taiwan, Province of China

DOI:

https://doi.org/10.37569/DalatUniversity.2.3.203(2012)

Keywords:

Parametric optimal control, Solution stability, Lower semi-continuity, Variational inequality

Abstract

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.

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Published

30-09-2012

Volume and Issues

Section

Natural Sciences and Technology

How to Cite

Kiên, B. T., Toàn, N. T., Wong, M. M., & Yao, J. C. (2012). LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM. Dalat University Journal of Science, 2(3), 8-13. https://doi.org/10.37569/DalatUniversity.2.3.203(2012)