Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Existence of singular extremals and singular functionals in reachable spaces

Existence of singular extremals and singular functionals in reachable spaces Given a linear, infinite dimensional control system with point target and "full" control we show that singular extremals for the minimum norm problem exist except in certain exceptional cases ("singular" means "not satisfying Pontryagin's maximum principle"). Existence of singular extremals implies existence of certain functionals (also called singular) in the space of reachable states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Existence of singular extremals and singular functionals in reachable spaces

Fattorini, H. O.
Journal of Evolution Equations , Volume 1 (3) – Sep 1, 2001
Download PDF
23 pages

Loading next page...
 
/lp/springer-journals/existence-of-singular-extremals-and-singular-functionals-in-reachable-x9hYXdQ2ul

References (11)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Birkhäuser Verlag Basel,
Subject
Mathematics; Analysis
ISSN
1424-3199
DOI
10.1007/PL00001374
Publisher site
See Article on Publisher Site

Abstract

Given a linear, infinite dimensional control system with point target and "full" control we show that singular extremals for the minimum norm problem exist except in certain exceptional cases ("singular" means "not satisfying Pontryagin's maximum principle"). Existence of singular extremals implies existence of certain functionals (also called singular) in the space of reachable states.

Journal

Journal of Evolution Equations – Springer Journals

Published: Sep 1, 2001

There are no references for this article.