Symmetry reduction for stochastic hybrid systems

Bujorianu, M. L. and Katoen, J. P. (2008) Symmetry reduction for stochastic hybrid systems. In: 47th IEEE Conference on Decision and Control 2008, 9-11 Dec 2008, Cancun, Mexico.

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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 or Workshop Item (Paper)
Uncontrolled Keywords:	stochastic hybrid systems, Markov processes, symmetry reduction, CICADA
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User:	Dr. Manuela Luminita BUJORIANU
Date Deposited:	20 Mar 2009
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1245

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