Necessary optimality conditions for a class of optimal control problems with discontinuous integrand

Smirnov A (2008). Necessary optimality conditions for a class of optimal control problems with discontinuous integrand. Proceedings of the Steklov Institute of Mathematics 262 (1): 213-230. DOI:10.1134/S0081543808030176.

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Abstract

We consider a nonlinear optimal control problem with an integral functional in which the integrand contains the characteristic function of a given closed subset of the phase space. Using an approximation method, we prove necessary optimality conditions in the form of the Pontryagin maximum principle without any a priori assumptions about the behavior of an optimal trajectory.

Item Type: Article
Research Programs: Forestry (FOR)
Bibliographic Reference: Proceedings of the Steklov Institute of Mathematics; 262(1): 213-230 [2008]
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:40
Last Modified: 24 Feb 2016 17:05
URI: http://pure.iiasa.ac.at/8507

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