LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Dalat University
2012-09-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/203 |
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| _version_ | 1832570031588769792 |
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| author | Bùi Trọng Kiên Nguyễn Thị Toàn Mu Ming Wong Jen Chih Yao |
| author_facet | Bùi Trọng Kiên Nguyễn Thị Toàn Mu Ming Wong Jen Chih Yao |
| author_sort | Bùi Trọng Kiên |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d066ce8425064db398bf9e29f4c14ccb |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2012-09-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-d066ce8425064db398bf9e29f4c14ccb2025-02-02T18:08:18ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.203(2012)LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEMBùi Trọng Kiên0Nguyễn Thị Toàn1Mu Ming Wong2Jen Chih Yao3Department of Information and Technology, Hanoi National University of Civil EngineeringDepartment of Mathematics, Vinh UniversityDepartment of Applied Mathematics, Chung Yuan Christian UniversityCentre for General Education, Kaohsiung Medical UniversityThis 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.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/203Parametric optimal controlSolution stabilityLower semi-continuityVariational inequality |
| spellingShingle | Bùi Trọng Kiên Nguyễn Thị Toàn Mu Ming Wong Jen Chih Yao LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM Tạp chí Khoa học Đại học Đà Lạt Parametric optimal control Solution stability Lower semi-continuity Variational inequality |
| title | LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM |
| title_full | LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM |
| title_fullStr | LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM |
| title_full_unstemmed | LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM |
| title_short | LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM |
| title_sort | lower semi continuity of the solution set to a parametric optimal control problem |
| topic | Parametric optimal control Solution stability Lower semi-continuity Variational inequality |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/203 |
| work_keys_str_mv | AT buitrongkien lowersemicontinuityofthesolutionsettoaparametricoptimalcontrolproblem AT nguyenthitoan lowersemicontinuityofthesolutionsettoaparametricoptimalcontrolproblem AT mumingwong lowersemicontinuityofthesolutionsettoaparametricoptimalcontrolproblem AT jenchihyao lowersemicontinuityofthesolutionsettoaparametricoptimalcontrolproblem |