Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions
Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for the functional is derived. Pontryagin’s maxi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/428042 |
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| author | M. J. Mardanov Y. A. Sharifov |
| author_facet | M. J. Mardanov Y. A. Sharifov |
| author_sort | M. J. Mardanov |
| collection | DOAJ |
| description | Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed
admissible control are obtained. First order increment formula for the functional is derived. Pontryagin’s maximum principle is proved by using the variations of admissible control. |
| format | Article |
| id | doaj-art-bc3e9048cca54b778aae4b03ff2d45e0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc3e9048cca54b778aae4b03ff2d45e02025-02-03T01:09:13ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/428042428042Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary ConditionsM. J. Mardanov0Y. A. Sharifov1Institute of Mathematics and Mechanics of ANAS, 9 B. Vahabzadeh Street, 1141 Baku, AzerbaijanInstitute of Control Systems of ANAS, 9 B. Vahabzadeh Street, 1141 Baku, AzerbaijanOptimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for the functional is derived. Pontryagin’s maximum principle is proved by using the variations of admissible control.http://dx.doi.org/10.1155/2015/428042 |
| spellingShingle | M. J. Mardanov Y. A. Sharifov Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions Abstract and Applied Analysis |
| title | Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions |
| title_full | Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions |
| title_fullStr | Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions |
| title_full_unstemmed | Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions |
| title_short | Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions |
| title_sort | pontryagin s maximum principle for the optimal control problems with multipoint boundary conditions |
| url | http://dx.doi.org/10.1155/2015/428042 |
| work_keys_str_mv | AT mjmardanov pontryaginsmaximumprinciplefortheoptimalcontrolproblemswithmultipointboundaryconditions AT yasharifov pontryaginsmaximumprinciplefortheoptimalcontrolproblemswithmultipointboundaryconditions |