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Critical observability for automata and Petri nets

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    0519325 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
    Masopust, Tomáš
    Critical observability for automata and Petri nets.
    IEEE Transactions on Automatic Control. Roč. 65, č. 1 (2020), s. 341-346. ISSN 0018-9286. E-ISSN 1558-2523
    Grant CEP: GA ČR(CZ) GC19-06175J
    Institucionální podpora: RVO:67985840
    Klíčová slova: critical observability * automata * Petri nets
    Obor OECD: Automation and control systems
    Impakt faktor: 5.792, rok: 2020
    Způsob publikování: Omezený přístup
    https://doi.org/10.1109/TAC.2019.2912484

    Critical observability is a property of cyber-physical systems to detect whether the current state belongs to a set of critical states. In safety-critical applications, critical states model operations that may be unsafe or of a particular interest. De Santis et al. introduced critical observability for linear switching systems, and Pola et al. adapted it for discrete-event systems, focusing on algorithmic complexity. We study the computational complexity of deciding critical observability for systems modeled as (networks of) finite-state automata and Petri nets. We show that deciding critical observability is (i) NL-complete for finite automata, (ii) PSPACE-complete for networks of finite automata, and (iii) undecidable for labeled Petri nets, but becoming decidable if the set of critical states (markings) is finite or co-finite, in which case the problem is as hard as the non-reachability problem for Petri nets.
    Trvalý link: http://hdl.handle.net/11104/0304320

     
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