Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F19%3APU132306" target="_blank" >RIV/00216305:26110/19:PU132306 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0096300319302760?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300319302760?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2019.03.068" target="_blank" >10.1016/j.amc.2019.03.068</a>
Alternative languages
Result language
angličtina
Original language name
Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis
Original language description
The paper is concerned with weakly delayed linear discrete homogeneous planar systems with constant coefficients. By the method of Z-transform, formulas for the general solutions, dependent on the Jordan forms of the matrix of non-delayed linear terms, are derived and the influence is analyzed of the delay on the form of the general solutions. It is shown that, after several steps, the general solutions depend only on two arbitrary parameters which are linear combinations of the initial values. This property is used to prove results on conditional stability. Linear discrete homogeneous planar systems without delay are found to have the same general solutions as the initial one. The results are illustrated by examples. Previous results are analyzed, commented and improved.
Czech name
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Czech description
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Classification
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
Result continuities
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS AND COMPUTATION
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
358
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
363-381
UT code for WoS article
000467907700031
EID of the result in the Scopus database
2-s2.0-85065090340