A convergence result for a sequence of distributed-parameter optimal control problems

 
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1991 (EN)
A convergence result for a sequence of distributed-parameter optimal control problems (EN)

Papageorgiou, NS (EN)

N/A (EN)

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)

journalArticle

parabolic systems (EN)
strongly monotone operator (EN)
Gelfand triple (EN)
Parabolic Systems (EN)
Control Systems, Optimal (EN)
τ-convergence (EN)
Control Systems, Distributed Parameter (EN)
G-convergence (EN)
Mathematical Techniques - Applications (EN)
PG-convergence (EN)
Convergence (EN)

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

Journal of Optimization Theory and Applications (EN)

1991


Kluwer Academic Publishers-Plenum Publishers (EN)



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