STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F15%3APU115532" target="_blank" >RIV/00216305:26110/15:PU115532 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0096300315009492" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0096300315009492</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2015.07.037" target="_blank" >10.1016/j.amc.2015.07.037</a>

Result language
angličtina
Original language name
STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY
Original language description
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay begin{equation*} xleft( {k+1} right)=Axleft( k right)+Bxleft( {k-m} right), quad k=0,1,dots end{equation*} where $A$, $B$ are square constant matrices and $minmathbb{N}$. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/LO1408" target="_blank" >LO1408: AdMaS UP – Advanced Building Materials, Structures and Technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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