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On the ""bang-bang"" principle for nonlinear evolution inclusions
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1993
(EN)
EKT historical period
Title
On the ""bang-bang"" principle for nonlinear evolution inclusions (EN)
Creator
Papageorgiou, NS (EN)
Description
In this paper we establish the existence of extremal solutions for a class of nonlinear evolution inclusions defined on an evolution triple of Hilbert spaces. Then we show that these extremal solutions are in fact dense in the solutions of the original system. Subsequently we use this density result to derive nonlinear and infinite dimensional versions of the ""bang-bang"" principle for control systems. An example of a nonlinear parabolic distributed parameter system is also worked out in detail. © 1993 Birkhäuser Verlag. (EN)
Type
journalArticle (EN)
Subject
AMS (1991) subject classification: 34G20, 39C20 (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Aequationes Mathematicae (EN)
Issued
1993 (EN)
Identifier
http://hdl.handle.net/123456789/11014
10.1007/BF01855884 (EN)
45 (EN)
267 (EN)
2-3 (EN)
280 (EN)
00019054 (EN)
Publisher
Birkhäuser-Verlag (EN)
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