On the dependence of the solutions and optimal solutions of control problems on the control constraint set

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National Technical University of Athens

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ΕΚΤ item type

Journal part (EN)

Scientific article (EN)

EKT year

1991 (EN)

EKT historical period

Title

On the dependence of the solutions and optimal solutions of control problems on the control constraint set (EN)

Creator

Papageorgiou, NS (EN)

Description

In this paper we examine the dependence of the solutions and optimal solutions of a class of linear, infinite-dimensional control systems on the control constraint set. This is done using the weak and the Kuratowski-Mosco convergence of sets. First we establish some general facts about weakly convergent multifunctions. Then we prove some convergence theorems for the trajectories of certain control systems. We also derive a general relaxation theorem. Subsequently we pass to optimal control problems and prove various convergence results. We conclude with an example from parabolic control systems. © 1991. (EN)

Type

journalArticle (EN)

Subject

Control Problem (EN)

Optimal Solution (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.

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