REGULARIZED PENALTY METHODS FOR ILL-POSED OPTIMAL-CONTROL PROBLEMS WITH ELLIPTIC-EQUATIONS .1. DISTRIBUTED CONTROL WITH BOUNDED CONTROL SETAND STATE CONSTRAINTS

Authors
HETTICH R KAPLAN A TICHATSCHKE R
Citation
R. Hettich et al., REGULARIZED PENALTY METHODS FOR ILL-POSED OPTIMAL-CONTROL PROBLEMS WITH ELLIPTIC-EQUATIONS .1. DISTRIBUTED CONTROL WITH BOUNDED CONTROL SETAND STATE CONSTRAINTS, Control and Cybernetics, 26(1), 1997, pp. 5-27
Citations number
28
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Science Cybernetics","Robotics & Automatic Control
Journal title
Control and Cybernetics → ACNP
ISSN journal
03248569
Volume
26
Issue
1
Year of publication
1997
Pages
5 - 27
Database
ISI
SICI code
0324-8569(1997)26:1<5:RPMFIO>2.0.ZU;2-L
Abstract
We investigate the application of Prox-Regularization to ill-posed con vex control problems governed by elliptic equations. Stable variants o f Penalty Methods are obtained by means of One- and Multi-Step Regular ization of the penalized problems. Convergence of the resulting method s is proved in the case of distributed control (with a bounded set of admissible controls) and Dirichlet boundary conditions. More general t ypes will be considered in the second part of this paper.