Necessary Optimality Conditions for a Class of Impulsive and Switching Systems
An optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the necessary optimality conditions for this problem. It is shown that the adjoint variables satisfy certain jump conditions and the Hamiltoni...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/457121 |
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| _version_ | 1850176062791614464 |
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| author | Lihua Li Yan Gao Gexia Wang |
| author_facet | Lihua Li Yan Gao Gexia Wang |
| author_sort | Lihua Li |
| collection | DOAJ |
| description | An optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the
necessary optimality conditions for this problem. It is shown that the adjoint variables satisfy certain jump conditions and the Hamiltonian are continuous at switching instants. In addition, necessary optimality conditions of Fréchet subdifferential form are presented in this paper. |
| format | Article |
| id | doaj-art-b9f9b9126b2a4b4aac7a23f2e57df942 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b9f9b9126b2a4b4aac7a23f2e57df9422025-08-20T02:19:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/457121457121Necessary Optimality Conditions for a Class of Impulsive and Switching SystemsLihua Li0Yan Gao1Gexia Wang2School of Management, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Management, University of Shanghai for Science and Technology, Shanghai 200093, ChinaSchool of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, ChinaAn optimal control problem for a class of hybrid impulsive and switching systems is considered. By defining switching times as part of extended state, we get the necessary optimality conditions for this problem. It is shown that the adjoint variables satisfy certain jump conditions and the Hamiltonian are continuous at switching instants. In addition, necessary optimality conditions of Fréchet subdifferential form are presented in this paper.http://dx.doi.org/10.1155/2012/457121 |
| spellingShingle | Lihua Li Yan Gao Gexia Wang Necessary Optimality Conditions for a Class of Impulsive and Switching Systems Journal of Applied Mathematics |
| title | Necessary Optimality Conditions for a Class of Impulsive and Switching Systems |
| title_full | Necessary Optimality Conditions for a Class of Impulsive and Switching Systems |
| title_fullStr | Necessary Optimality Conditions for a Class of Impulsive and Switching Systems |
| title_full_unstemmed | Necessary Optimality Conditions for a Class of Impulsive and Switching Systems |
| title_short | Necessary Optimality Conditions for a Class of Impulsive and Switching Systems |
| title_sort | necessary optimality conditions for a class of impulsive and switching systems |
| url | http://dx.doi.org/10.1155/2012/457121 |
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