Pontryagin maximum principle for optimal control of variational inequalities

Authors
Bergounioux, M Zidani, H
Citation
M. Bergounioux et H. Zidani, Pontryagin maximum principle for optimal control of variational inequalities, SIAM J CON, 37(4), 1999, pp. 1273-1290
Citations number
24
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
37
Issue
4
Year of publication
1999
Pages
1273 - 1290
Database
ISI
SICI code
0363-0129(19990526)37:4<1273:PMPFOC>2.0.ZU;2-Q
Abstract
In this paper we investigate optimal control problems governed by variation al inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle. The main tools used are the Ekeland's v ariational principle combined with penalization and spike variation techniq ues.