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Positive trigonometric polynomials for strong stability of difference equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F11%3A00184748" target="_blank" >RIV/68407700:21220/11:00184748 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21230/11:00184748

  • Result on the web

    <a href="http://www.ifac-papersonline.net/Detailed/47575.html" target="_blank" >http://www.ifac-papersonline.net/Detailed/47575.html</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3182/20110828-6-IT-1002.01902" target="_blank" >10.3182/20110828-6-IT-1002.01902</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Positive trigonometric polynomials for strong stability of difference equations

  • Original language description

    We follow a polynomial approach to analyse strong stability of linear difference equations with several independent delays. Upon application of the Hermite stability criterion on the discrete-time homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with a converging hierarchy of linear matrix inequalities (LMIs). Numerical experiments indicate that certificates of strong stability can be obtained at a reasonable computational cost for state dimension and number of delays not exceeding 4 or 5.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

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

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2011

  • 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 18th IFAC World Congress, 2011

  • ISBN

    978-3-902661-93-7

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    296-301

  • Publisher name

    IFAC

  • Place of publication

    Bologna

  • Event location

    Milano

  • Event date

    Aug 28, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article