Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU123881" target="_blank" >RIV/00216305:26110/17:PU123881 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1155/2017/6028078" target="_blank" >https://doi.org/10.1155/2017/6028078</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2017/6028078" target="_blank" >10.1155/2017/6028078</a>

Result language
angličtina
Original language name
Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2
Original language description
Two-dimensional linear discrete systems $$ x(k+1)=Ax(k)+sumlimits_{l=1}^{n}B_{l}x_{l}(k-m_{l}),,,,kge 0 $$are analyzed, where $m_{1}, m_{2},dots, m_{n}$ are constant integer delays, $0<m_{1}<m_{2}<dots<m_{n}$, $A$, $B_{1},dots, B_{n}$ are constant $2times 2$ matrices, $A=(a_{ij})$, $B_{l}=(b^l_{ij})$, $i,j=1,2$, $l=1,2,dots,n$ and $x: {-m_n,-m_n+1,dots}to mathbb{R}^2$. Under the assumption that the system is weakly delayed, the asymptotic behavior of its solutions is studied and asymptotic formulas are derived.
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
10102 - Applied 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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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