DocumentCode :
3050047
Title :
Prohorov´s theorem for transition probabilities and its applications to optimal control
Author :
Balder, E.J.
Author_Institution :
University of Utrecht, Utrecht, Netherlands
fYear :
1983
fDate :
- Dec. 1983
Firstpage :
166
Lastpage :
170
Abstract :
We present a criterion for relative weak compactness of sets of transition probabilities that generalizes Prohorov´s classical theorem. Our result is closely connected to the theory of relaxed control. By means of relaxation in all variables but one, the result can be used to obtain very general lower closure and lower semicontinuity results for integral functionals. From these, in turn, various existence results for optimal control, both with and without convexity conditions, can be derived.
Keywords :
Extraterrestrial measurements; Instruction sets; Measurement standards; Optimal control; Topology;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 1983. The 22nd IEEE Conference on
Conference_Location :
San Antonio, TX, USA
Type :
conf
DOI :
10.1109/CDC.1983.269822
Filename :
4047528
Link To Document :
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