Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems
Due to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems. The basic ideas and techniques are based on the compactness of the optimal trajectory set and set-valued mapping theorem. Through lack of op...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1392705 |
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| _version_ | 1850166736883548160 |
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| author | Hongyong Deng Wei Zhang Changchun Shen |
| author_facet | Hongyong Deng Wei Zhang Changchun Shen |
| author_sort | Hongyong Deng |
| collection | DOAJ |
| description | Due to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems. The basic ideas and techniques are based on the compactness of the optimal trajectory set and set-valued mapping theorem. Through lack of optimal control stability, the result of generic stability for optimal trajectories is obtained under the perturbations of the right-hand side functions of the state equations; in the sense of Baire category, the right-hand side functions of the state equations of optimal control can be approximated by other functions. |
| format | Article |
| id | doaj-art-de855b57894d4e00a0d0208ef7a1075f |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-de855b57894d4e00a0d0208ef7a1075f2025-08-20T02:21:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/13927051392705Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control ProblemsHongyong Deng0Wei Zhang1Changchun Shen2School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou, ChinaSchool of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou, ChinaDue to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems. The basic ideas and techniques are based on the compactness of the optimal trajectory set and set-valued mapping theorem. Through lack of optimal control stability, the result of generic stability for optimal trajectories is obtained under the perturbations of the right-hand side functions of the state equations; in the sense of Baire category, the right-hand side functions of the state equations of optimal control can be approximated by other functions.http://dx.doi.org/10.1155/2020/1392705 |
| spellingShingle | Hongyong Deng Wei Zhang Changchun Shen Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems Journal of Mathematics |
| title | Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems |
| title_full | Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems |
| title_fullStr | Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems |
| title_full_unstemmed | Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems |
| title_short | Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems |
| title_sort | stability analysis of optimal trajectory for nonlinear optimal control problems |
| url | http://dx.doi.org/10.1155/2020/1392705 |
| work_keys_str_mv | AT hongyongdeng stabilityanalysisofoptimaltrajectoryfornonlinearoptimalcontrolproblems AT weizhang stabilityanalysisofoptimaltrajectoryfornonlinearoptimalcontrolproblems AT changchunshen stabilityanalysisofoptimaltrajectoryfornonlinearoptimalcontrolproblems |