Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators
In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle, the necessary optimality conditions for such...
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Vilnius University Press
2020-09-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/19279 |
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doaj-d3afcea48dc6405c873997bf2fb72a262020-11-25T03:52:11ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-09-0125510.15388/namc.2020.25.19279Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operatorsRafał Kamocki0University of Lodz In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle, the necessary optimality conditions for such problems are derived. https://www.journals.vu.lt/nonlinear-analysis/article/view/19279smooth-convex extremum principlespectral representation of a self-adjoint operatorfractional Laplace operatorDirichlet and Dirichlet–Neumann boundary conditions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rafał Kamocki |
| spellingShingle |
Rafał Kamocki Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators Nonlinear Analysis smooth-convex extremum principle spectral representation of a self-adjoint operator fractional Laplace operator Dirichlet and Dirichlet–Neumann boundary conditions |
| author_facet |
Rafał Kamocki |
| author_sort |
Rafał Kamocki |
| title |
Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators |
| title_short |
Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators |
| title_full |
Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators |
| title_fullStr |
Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators |
| title_full_unstemmed |
Necessary optimality conditions for Lagrange problems involving ordinary control systems described by fractional Laplace operators |
| title_sort |
necessary optimality conditions for lagrange problems involving ordinary control systems described by fractional laplace operators |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2020-09-01 |
| description |
In this paper, optimal control problems containing ordinary nonlinear control systems described by fractional Dirichlet and Dirichlet–Neumann Laplace operators and a nonlinear integral performance index are studied. Using smooth-convex maximum principle, the necessary optimality conditions for such problems are derived.
|
| topic |
smooth-convex extremum principle spectral representation of a self-adjoint operator fractional Laplace operator Dirichlet and Dirichlet–Neumann boundary conditions |
| url |
https://www.journals.vu.lt/nonlinear-analysis/article/view/19279 |
| work_keys_str_mv |
AT rafałkamocki necessaryoptimalityconditionsforlagrangeproblemsinvolvingordinarycontrolsystemsdescribedbyfractionallaplaceoperators |
| _version_ |
1724483901645127680 |