Maximum principle and its extension for bounded control problems with boundary conditions

Olga Vasilieva

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-25

Abstract:

This note is focused on a bounded control problem with boundary conditions. The control domain need not be convex. First-order necessary condition for optimality is obtained in the customary form of the maximum principle, and second-order necessary condition for optimality of singular controls is derived on the basis of second-order increment formula using the method of increments along with linearization approach.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:130179

DOI: 10.1155/S0161171204308033

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