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Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F11%3APU95472" target="_blank" >RIV/00216305:26220/11:PU95472 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Delayed exponential functions and their application to representations of solutions of linear equations with constant coefficients and with single delay

  • Original language description

    A method for construction of solutions of linear discrete systems with constant coefficients and with single delay is developed. Solutions are expressed with the aid of a special function called the discrete matrix delayed exponential. Derived formulas are applied to the construction of solutions of linear discrete systems with constant coefficients, with pure delay and with impulses. Moreover, we give a controllability method for linear discrete systems with constant coefficients and with single delay. Except for a criterion of relative controllability a control function is constructed as well. For continuous case an initial-boundary problem for second-order partial differential equation with delay is solved.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • 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

    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 IEEEAM/NAUN International Conferences

  • ISBN

    978-1-61804-058-9

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    82-87

  • Publisher name

    Neuveden

  • Place of publication

    Neuveden

  • Event location

    Puerto de la Cruz

  • Event date

    Dec 10, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article