In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control law, an operator valued function, that minimizes the maximum risk. We present a result on the existence of an optimal (output feedback) operator valued function in the presence of uncertainty in the system as well as measurement. We also consider uncertain stochastic systems and present similar results on the question of existence of optimal feedback laws.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1166,
author = {N.U. Ahmed},
title = {Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {35},
year = {2015},
pages = {65-87},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1166}
}
N.U. Ahmed. Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 35 (2015) pp. 65-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1166/
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