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A convergence result for a sequence of distributed-parameter optimal control problems
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
1991
(EN)
EKT historical period
Title
A convergence result for a sequence of distributed-parameter optimal control problems (EN)
Creator
Papageorgiou, NS (EN)
Description
In this paper, we consider a sequence of abstract optimal control problems by allowing the cost integrand, the partial differential operator, and the control constraint set all to vary simultaneously. Using the notions of τ-convergence of functions, G-convergence of operators, and Kuratowski-Mosco convergence of sets, we show that the values of the approximating problems converge to that of the limit problem. Also we show that a convergent sequence of optimal pairs for the approximating problems has a limit which is optimal for the limit problem. A concrete example of parabolic optimal control problems is worked out in detail. © 1991 Plenum Publishing Corporation. (EN)
Type
journalArticle (EN)
Subject
Control Systems, Optimal (EN)
Mathematics, Applied (EN)
G-convergence (EN)
PG-convergence (EN)
Convergence (EN)
parabolic systems (EN)
strongly monotone operator (EN)
Operations Research & Management Science (EN)
Gelfand triple (EN)
Parabolic Systems (EN)
τ-convergence (EN)
Control Systems, Distributed Parameter (EN)
Mathematical Techniques - Applications (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
Journal of Optimization Theory and Applications (EN)
Language
English
Issued
1991 (EN)
Identifier
http://hdl.handle.net/123456789/10332
320 (EN)
68 (EN)
2 (EN)
ISI:A1991EZ34000006 (EN)
305 (EN)
0022-3239 (EN)
10.1007/BF00941570 (EN)
Publisher
Kluwer Academic Publishers-Plenum Publishers (EN)
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