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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU151630" target="_blank" >RIV/00216305:26220/24:PU151630 - isvavai.cz</a>
Result on the web
<a href="https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf" target="_blank" >https://mitav.unob.cz/data/final%20Program%20MITAV%202024.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
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
Original language description
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.
Czech name
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Czech description
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Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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