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HARTMANOVÁ, M. DIBLÍK, J.
Original Title
General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied
Type
article in a collection out of WoS and Scopus
Language
English
Original Abstract
Linear discrete two-dimensional systems y(n+1) = Gy(n)+My(n−r), n ≥ 0 are considered, where the 2 by 2 constant matrices G and M satisfy the conditions known for so-called weakly delayed systems. The system has a single delay represented by a positive integer r, n is an independent variable and y in an unknown two dimensional vector function defined for all n = −r,−r + 1,... . It is assumed that both eigenvalues of G equal zero and the entries of 2 by 2 matrix M satisfy the conditions characterizing weakly delayed systems. Formulas are derived for solutions of initial problems.
Keywords
weakly delayed system; discrete equation; single delay; initial problem; zero eigenvalues; general solution
Authors
HARTMANOVÁ, M.; DIBLÍK, J.
Released
20. 6. 2024
Publisher
Univerzita Obrany
Location
Brno
ISBN
978-80-7582-493-6
Pages from
1
Pages to
8
Pages count
URL
https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf
BibTex
@inproceedings{BUT188979, author="Marie {Hartmanová} and Josef {Diblík}", title="General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied", year="2024", pages="1--8", publisher="Univerzita Obrany", address="Brno", isbn="978-80-7582-493-6", url="https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf" }