Maximum principle and its extension for bounded control problems with boundary conditions (Q1777646)
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scientific article; zbMATH DE number 2171555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum principle and its extension for bounded control problems with boundary conditions |
scientific article; zbMATH DE number 2171555 |
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Maximum principle and its extension for bounded control problems with boundary conditions (English)
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25 May 2005
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Summary: This note is focused on a bounded control problem with boundary conditions. The control domain need not be convex. A first-order necessary condition for optimality is obtained in the customary form of the maximum principle, and a second-order necessary condition for optimality of singular controls is derived on the basis of the second-order increment formula using the method of increments along with the linearization approach.
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optimal control
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maximum principle
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nonlinear boundary value problem
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needle-shaped variation
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