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@inproceedings{590127,
author = {Kučera, Antonín and Stražovský, Oldřich},
address = {Berlin Heidelberg New York},
booktitle = {25th International Conference on Foundations of Software Technology and Theoretical Computer Science},
keywords = {Controller Synthesis; Markov Decision Processes},
language = {eng},
location = {Berlin Heidelberg New York},
isbn = {3-540-30495-9},
pages = {541-552},
publisher = {Springer},
title = {On the Controller Synthesis for Finite-State Markov Decision Processes},
year = {2005}
}
TY - JOUR
ID - 590127
AU - Kučera, Antonín - Stražovský, Oldřich
PY - 2005
TI - On the Controller Synthesis for Finite-State Markov Decision Processes
PB - Springer
CY - Berlin Heidelberg New York
SN - 3540304959
KW - Controller Synthesis
KW - Markov Decision Processes
N2 - We study the problem of effective controller synthesis for finite-state Markov decision processes (MDPs) and the class of properties definable in the logic PCTL extended with long-run average propositions. We show that the existence of such a controller is decidable, and we give an algorithm which computes the controller if it exists. We also address the issue of ``controller robustness'', i.e., the problem whether there is a controller which still guarantees the satisfaction of a given property when the probabilities in the considered MDP slightly deviate from their original values. From a practical point of view, this is an important aspect since the probabilities are often determined empirically and hence they are inherently imprecise. We show that the existence of robust controllers is also decidable, and that such controllers are effectively computable if they exist. .
ER -
KUČERA, Antonín and Oldřich STRAŽOVSKÝ. On the Controller Synthesis for Finite-State Markov Decision Processes. In \textit{25th International Conference on Foundations of Software Technology and Theoretical Computer Science}. Berlin Heidelberg New York: Springer, 2005, p.~541-552. ISBN~3-540-30495-9.
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