Optimal Control Problem for Switched System with the Nonsmooth Cost Functional
We examine the relationships between lower exhausters, quasidifferentiability (in the Demyanov and Rubinov sense), and optimal control for switching systems. Firstly, we get necessary optimality condition for the optimal control problem for switching system in terms of lower exhausters. Then, by usi...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/681862 |
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| _version_ | 1832548576379535360 |
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| author | Shahlar Meherrem Rufan Akbarov |
| author_facet | Shahlar Meherrem Rufan Akbarov |
| author_sort | Shahlar Meherrem |
| collection | DOAJ |
| description | We examine the relationships between lower exhausters, quasidifferentiability (in the Demyanov and Rubinov sense), and optimal control for switching systems. Firstly, we get necessary optimality condition for the optimal control problem for switching system in terms of lower exhausters. Then, by using relationships between lower exhausters and quasidifferentiability, we obtain necessary optimality condition in the case that the minimization functional satisfies quasidifferentiability condition. |
| format | Article |
| id | doaj-art-eb9aaa5866164ed2a9ca55732dac9c3c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eb9aaa5866164ed2a9ca55732dac9c3c2025-02-03T06:13:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/681862681862Optimal Control Problem for Switched System with the Nonsmooth Cost FunctionalShahlar Meherrem0Rufan Akbarov1Department of Mathematics, Yasar University, 35100 İzmir, TurkeyDepartment of Business Administration, Cologne University, 50931 Cologne, GermanyWe examine the relationships between lower exhausters, quasidifferentiability (in the Demyanov and Rubinov sense), and optimal control for switching systems. Firstly, we get necessary optimality condition for the optimal control problem for switching system in terms of lower exhausters. Then, by using relationships between lower exhausters and quasidifferentiability, we obtain necessary optimality condition in the case that the minimization functional satisfies quasidifferentiability condition.http://dx.doi.org/10.1155/2013/681862 |
| spellingShingle | Shahlar Meherrem Rufan Akbarov Optimal Control Problem for Switched System with the Nonsmooth Cost Functional Abstract and Applied Analysis |
| title | Optimal Control Problem for Switched System with the Nonsmooth Cost Functional |
| title_full | Optimal Control Problem for Switched System with the Nonsmooth Cost Functional |
| title_fullStr | Optimal Control Problem for Switched System with the Nonsmooth Cost Functional |
| title_full_unstemmed | Optimal Control Problem for Switched System with the Nonsmooth Cost Functional |
| title_short | Optimal Control Problem for Switched System with the Nonsmooth Cost Functional |
| title_sort | optimal control problem for switched system with the nonsmooth cost functional |
| url | http://dx.doi.org/10.1155/2013/681862 |
| work_keys_str_mv | AT shahlarmeherrem optimalcontrolproblemforswitchedsystemwiththenonsmoothcostfunctional AT rufanakbarov optimalcontrolproblemforswitchedsystemwiththenonsmoothcostfunctional |