On the number of arbitrary parameters in the general solution to a weakly delayed planar linear discrete system with constant coefficients

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F20%3APU134861" target="_blank" >RIV/00216305:26110/20:PU134861 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/abs/10.1063/5.0026615" target="_blank" >https://aip.scitation.org/doi/abs/10.1063/5.0026615</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0026615" target="_blank" >10.1063/5.0026615</a>

Result language
angličtina
Original language name
On the number of arbitrary parameters in the general solution to a weakly delayed planar linear discrete system with constant coefficients
Original language description
A planar linear discrete system with constant coefficients and two delays x(k + 1) = Ax(k) + Bx(k − m) + Cx(k − n) is considered where k ∈ Z. It is assumed that the system is weakly delayed and the eigenvalues of the matrix A are real and different. The formula for a general solution of the system is well-known and depends on 2(m + 1) initial values. This formula can be simpliﬁed to depend only on 2 arbitrary constants. A relation between the initial values and new arbitrary constants is given.
Czech name
—
Czech description
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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)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2019 (ICNAAM-2019)
ISBN
978-0-7354-4025-8
ISSN
0094-243X
e-ISSN
—
Number of pages
4
Pages from-to
„340008-1“-„340008-4“
Publisher name
American Institute of Physics
Place of publication
Melville (USA)
Event location
hotel Sheraton, Ixia, Rhodos
Event date
Sep 23, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000636709500178

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