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Formal Analysis of Piecewise Affine Systems through Formula-Guided Refinement

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F10%3A00045258" target="_blank" >RIV/00216224:14330/10:00045258 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Formal Analysis of Piecewise Affine Systems through Formula-Guided Refinement

  • Original language description

    We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Logic (LTL) formula over a set of linear predicates in its state variables. Our approachis based on the construction and refinement of finite abstractions of infinite systems. We derive conditions guaranteeing the equivalence of an infinite system and its finite abstraction with respect to a specific temporal logic formula and propose methods aimed at the construction of such formula-equivalent abstractions. We show that the proposed procedure can be implemented using polyhedral operations and analysis of finite graphs. While provably correct, the overall method is conservative and expensive. The proposed algorithms have been implemented as a software tool that is available for download. An illustrative example for a PWA gene network model is included.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)

  • ISBN

    978-1-4244-7744-9

  • ISSN

    0191-2216

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Omnipress for IEEE Control Systems Society

  • Place of publication

    Neuveden

  • Event location

    Atlanta, GA, USA

  • Event date

    Jan 1, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    00000