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Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States

Title data

Schiela, Anton:
Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2007 . - (ZIB-Report ; 07-35 )

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
DFG Research Center Matheon ”Mathematics for key technologies”FZT 86

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We discuss first order optimality conditions for state constrained optimal control problems. Our concern is the treatment of problems, where the solution of the state equation is not known to be continuous, as in the case of boundary control in three space dimensions or optimal control with parabolic partial differential equations. We show existence of measure valued Lagrangian multipliers, which have just enough additional regularity to be applicable to all possibly discontinuous solutions of the state equation.

Further data

Item Type: Working paper, Diskussionspapier
Keywords: optimal control; optimality conditions; state constraints
Subject classification: MSC classification: 49-XX (49Kxx, 49K20)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics) > Chair Applied Mathematics (Applied Mathematics) - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 09 Feb 2015 08:12
Last Modified: 04 Apr 2019 05:40
URI: https://eref.uni-bayreuth.de/id/eprint/6641