Solution to Singular Optimal Control by Backward Differential Flow
This paper presents a backward differential flow for solving singular optimal control problems. By using Krotov equivalent transformation, the cost functional is converted to a class of global optimization problems. Some properties of the flow are given to reveal the significant relationship between...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/678679 |
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| _version_ | 1832546033403428864 |
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| author | Jinghao Zhu Shangrui Zhao Guohua Liu |
| author_facet | Jinghao Zhu Shangrui Zhao Guohua Liu |
| author_sort | Jinghao Zhu |
| collection | DOAJ |
| description | This paper presents a backward differential flow for solving singular optimal control problems. By using Krotov equivalent transformation, the cost functional is converted to a class of global optimization problems. Some properties of the flow are given to reveal the significant relationship between the dynamic of the flow and the geometry of the feasible set. The proposed method is also used in solving a class of variational problems. Some examples are illustrated. |
| format | Article |
| id | doaj-art-f6e90d971b184217a7c1015b030ecfe9 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-f6e90d971b184217a7c1015b030ecfe92025-02-03T07:24:11ZengWileyJournal of Control Science and Engineering1687-52491687-52572013-01-01201310.1155/2013/678679678679Solution to Singular Optimal Control by Backward Differential FlowJinghao Zhu0Shangrui Zhao1Guohua Liu2Department of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaDepartment of Mathematics, Tongji University, Shanghai 200092, ChinaThis paper presents a backward differential flow for solving singular optimal control problems. By using Krotov equivalent transformation, the cost functional is converted to a class of global optimization problems. Some properties of the flow are given to reveal the significant relationship between the dynamic of the flow and the geometry of the feasible set. The proposed method is also used in solving a class of variational problems. Some examples are illustrated.http://dx.doi.org/10.1155/2013/678679 |
| spellingShingle | Jinghao Zhu Shangrui Zhao Guohua Liu Solution to Singular Optimal Control by Backward Differential Flow Journal of Control Science and Engineering |
| title | Solution to Singular Optimal Control by Backward Differential Flow |
| title_full | Solution to Singular Optimal Control by Backward Differential Flow |
| title_fullStr | Solution to Singular Optimal Control by Backward Differential Flow |
| title_full_unstemmed | Solution to Singular Optimal Control by Backward Differential Flow |
| title_short | Solution to Singular Optimal Control by Backward Differential Flow |
| title_sort | solution to singular optimal control by backward differential flow |
| url | http://dx.doi.org/10.1155/2013/678679 |
| work_keys_str_mv | AT jinghaozhu solutiontosingularoptimalcontrolbybackwarddifferentialflow AT shangruizhao solutiontosingularoptimalcontrolbybackwarddifferentialflow AT guohualiu solutiontosingularoptimalcontrolbybackwarddifferentialflow |