Temporal logic control for stochastic linear systems using abstraction refinement of probabilistic games

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F17%3A00094586" target="_blank" >RIV/00216224:14330/17:00094586 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.nahs.2016.04.006" target="_blank" >http://dx.doi.org/10.1016/j.nahs.2016.04.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nahs.2016.04.006" target="_blank" >10.1016/j.nahs.2016.04.006</a>

Result language
angličtina
Original language name
Temporal logic control for stochastic linear systems using abstraction refinement of probabilistic games
Original language description
We consider the problem of computing the set of initial states of a dynamical system such that there exists a control strategy to ensure that the trajectories satisfy a temporal logic specification with probability 1 (almost-surely). We focus on discrete-time, stochastic linear dynamics and specifications given as formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over linear predicates in the states of the system. We propose a solution based on iterative abstraction-refinement, and turn-based 2-player probabilistic games. While the theoretical guarantee of our algorithm after any finite number of iterations is only a partial solution, we show that if our algorithm terminates, then the result is the set of all satisfying initial states. Moreover, for any (partial) solution our algorithm synthesizes witness control strategies to ensure almost-sure satisfaction of the temporal logic specification. While the proposed algorithm guarantees progress and soundness in every iteration, it is computationally demanding. We offer an alternative, more efficient solution for the reachability properties that decomposes the problem into a series of smaller problems of the same type. All algorithms are demonstrated on an illustrative case study.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA15-17564S" target="_blank" >GA15-17564S: Game Theory in Formal Analysis and Verification of Computer Systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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