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A general denseness result for relaxed control theory

Published online by Cambridge University Press:  17 April 2009

E. J. Balder
E. J. Balder
Affiliation:
Mathematical Institute, University of Utrecht, PO Box 80.010, 3508 TA Utrecht, The Netherlands.
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Abstract

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A result by the author on the elimination of randomization (or relaxation) for variational problems is partially extended and then used to obtain a very general result on the denseness of the set of original control functions in the set of relaxed control functions. Also, a slight extension of Aumann's theorem on the integrals of multifunctions is shown to follow directly from the elimination result.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 3 , December 1984 , pp. 463 - 475
Copyright
Copyright © Australian Mathematical Society 1984

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