REGULARIZED PENALTY METHOD FOR NONCOERCIVE PARABOLIC OPTIMAL-CONTROL PROBLEMS

Authors
KAPLAN A TICHATSCHKE R
Citation
A. Kaplan et R. Tichatschke, REGULARIZED PENALTY METHOD FOR NONCOERCIVE PARABOLIC OPTIMAL-CONTROL PROBLEMS, Control and Cybernetics, 27(1), 1998, pp. 5-27
Citations number
29
Categorie Soggetti
Computer Science Cybernetics","Robotics & Automatic Control","Computer Science Cybernetics","Robotics & Automatic Control
Journal title
Control and Cybernetics → ACNP
ISSN journal
03248569
Volume
27
Issue
1
Year of publication
1998
Pages
5 - 27
Database
ISI
SICI code
0324-8569(1998)27:1<5:RPMFNP>2.0.ZU;2-9
Abstract
The application of a proximal point approach to ill-posed convex contr ol problems governed by linear parabolic equations is studied. A stabl e penalty method is constructed by means of multi-step proximal regula rization (only w.r.t. the control functions) in the penalized problems . For distributed control problems with state constraints convergence of the approximately determined solutions of the regularized problems to an optimal process is proved.