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

Kód výsledku v 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>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the IEEEAM/NAUN International Conferences

ISBN

978-1-61804-058-9

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

82-87

Název nakladatele

Neuveden

Místo vydání

Neuveden

Místo konání akce

Puerto de la Cruz

Datum konání akce

10. 12. 2011

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—