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

 
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1991 (EN)
On the dependence of the solutions and optimal solutions of control problems on the control constraint set (EN)

Papageorgiou, NS (EN)

N/A (EN)

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)

journalArticle

Control Problem (EN)
Optimal Solution (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Journal of Mathematical Analysis and Applications (EN)

1991


N/A (EN)



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