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An Algebraic Approach for a Stability Analysis Methodology for Multiple Time-delay Systems.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F18%3A00327511" target="_blank" >RIV/68407700:21730/18:00327511 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S2405896318309959" target="_blank" >https://www.sciencedirect.com/science/article/pii/S2405896318309959</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ifacol.2018.07.244" target="_blank" >10.1016/j.ifacol.2018.07.244</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An Algebraic Approach for a Stability Analysis Methodology for Multiple Time-delay Systems.

  • Original language description

    This paper presents an improvement on Cluster Treatment of Characteristic Roots (CTCR), which is a well-known methodology for delay-dependent stability analysis of multiple time-delay systems (MTDS). We propose an algebraic approach to extract the stability switching hypersurfaces in spectral delay space, instead of a numerical procedure in CTCR with Extended Kronecker Sum (EKS) operation. The proposed algebraic approach is based on an efficient zero location test, and the deployment of this test to an auxiliary characteristic polynomial whose unique properties have recently been revealed. The achieved improvement is demonstrated by applying the new CTCR procedure to a system with three delays.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • 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 the 14th IFAC Workshop on Time Delay Systems

  • ISBN

  • ISSN

    2405-8963

  • e-ISSN

    2405-8963

  • Number of pages

    6

  • Pages from-to

    324-329

  • Publisher name

    IFAC

  • Place of publication

    Heidelberg

  • Event location

    Budapest

  • Event date

    Jun 28, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000443033900057