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  • In this paper, we focus on formal synthesis of control policies for finite Markov decision processes with non-negative real-valued costs. We develop an algorithm to automatically generate a policy that guarantees the satisfaction of a correctness specification expressed as a formula of Linear Temporal Logic, while at the same time minimizing the expected average cost between two consecutive satisfactions of a desired property. The existing solutions to this problem are sub-optimal. By leveraging ideas from automata-based model checking and game theory, we provide an optimal solution. We demonstrate the approach on an illustrative example.
  • In this paper, we focus on formal synthesis of control policies for finite Markov decision processes with non-negative real-valued costs. We develop an algorithm to automatically generate a policy that guarantees the satisfaction of a correctness specification expressed as a formula of Linear Temporal Logic, while at the same time minimizing the expected average cost between two consecutive satisfactions of a desired property. The existing solutions to this problem are sub-optimal. By leveraging ideas from automata-based model checking and game theory, we provide an optimal solution. We demonstrate the approach on an illustrative example. (en)
Title
  • Optimal Control of MDPs with Temporal Logic Constraints
  • Optimal Control of MDPs with Temporal Logic Constraints (en)
skos:prefLabel
  • Optimal Control of MDPs with Temporal Logic Constraints
  • Optimal Control of MDPs with Temporal Logic Constraints (en)
skos:notation
  • RIV/00216224:14330/13:00066298!RIV14-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/11/0312), P(LH11065)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 94289
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/13:00066298
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • automatic synthesis Markov decision processes LTL (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [F0CA21AB254C]
http://linked.open...v/mistoKonaniAkce
  • Firenze, Italy
http://linked.open...i/riv/mistoVydani
  • Neuveden
http://linked.open...i/riv/nazevZdroje
  • Proceedings of The 52nd IEEE Conference on Decision and Control
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  • Černá, Ivana
  • Belta, Calin
  • Svoreňová, Mária
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0743-1546
number of pages
http://bibframe.org/vocab/doi
  • 10.1109/CDC.2013.6760491
http://purl.org/ne...btex#hasPublisher
  • Omnipress for the IEEE Control Systems Society
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  • 9781467357142
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  • 14330
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