Optimality conditions for systems driven by nonlinear evolution equations
Using the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1995-01-01
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| Series: | Mathematical Problems in Engineering |
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| Online Access: | http://dx.doi.org/10.1155/S1024123X95000044 |
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doaj-9a7d40bff97247028867c1925403a8182020-11-24T22:41:29ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51471995-01-0111273610.1155/S1024123X95000044Optimality conditions for systems driven by nonlinear evolution equationsN. Papageorgiou0Florida Institute of Technology, Department of Applied Mathematics , Melbourne 32901-6988, Florida, USAUsing the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included.http://dx.doi.org/10.1155/S1024123X95000044Dubovitskii-Milyutin theoryevolution tripleeuler equationadjoint equationminimum principle. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. Papageorgiou |
| spellingShingle |
N. Papageorgiou Optimality conditions for systems driven by nonlinear evolution equations Mathematical Problems in Engineering Dubovitskii-Milyutin theory evolution triple euler equation adjoint equation minimum principle. |
| author_facet |
N. Papageorgiou |
| author_sort |
N. Papageorgiou |
| title |
Optimality conditions for systems driven by nonlinear evolution equations |
| title_short |
Optimality conditions for systems driven by nonlinear evolution equations |
| title_full |
Optimality conditions for systems driven by nonlinear evolution equations |
| title_fullStr |
Optimality conditions for systems driven by nonlinear evolution equations |
| title_full_unstemmed |
Optimality conditions for systems driven by nonlinear evolution equations |
| title_sort |
optimality conditions for systems driven by nonlinear evolution equations |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
1995-01-01 |
| description |
Using the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included. |
| topic |
Dubovitskii-Milyutin theory evolution triple euler equation adjoint equation minimum principle. |
| url |
http://dx.doi.org/10.1155/S1024123X95000044 |
| work_keys_str_mv |
AT npapageorgiou optimalityconditionsforsystemsdrivenbynonlinearevolutionequations |
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