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Symmetry reduction for stochastic hybrid systems

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Bujorianu, Manuela and Katoen, Joost-Piter (2008) Symmetry reduction for stochastic hybrid systems. In: 47th IEEE Conference on Decision and Control, 2008. CDC 2008., Cancun, Mexico, 9-11 Dec 2008. Published in: 47th IEEE Conference on Decision and Control December 9-11, 2008, Cancun, Mexico pp. 233-238.

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Official URL: http://dx.doi.org/10.1109/CDC.2008.4739086

Abstract

This paper is focused on adapting symmetry reduction, a technique that is highly successful in traditional model checking, to stochastic hybrid systems. We first show that performability analysis of stochastic hybrid systems can be reduced to a stochastic reachability analysis (SRA). Then, we generalize the notion of symmetry reduction as recently proposed for probabilistic model checking, to continuous probabilistic systems. We provide a rigorous mathematical foundation for the reduction technique in the continuous case and also investigate its observability perspective. For stochastic hybrid systems, characterizations for this reduction technique are provided, in terms of their infinitesimal generator.

Item Type: Conference Item (Paper)
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: 47th IEEE Conference on Decision and Control December 9-11, 2008, Cancun, Mexico
Publisher: IEEE
ISSN: 9781424431236
Date: 2008
Page Range: pp. 233-238
Identification Number: 10.1109/CDC.2008.4739086
Status: Peer Reviewed
Publication Status: Published
Conference Paper Type: Paper
Title of Event: 47th IEEE Conference on Decision and Control, 2008. CDC 2008.
Type of Event: Conference
Location of Event: Cancun, Mexico
Date(s) of Event: 9-11 Dec 2008
URI: http://wrap.warwick.ac.uk/id/eprint/49166

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