Solutions of linear discrete systems with a single delay and impulses

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F23%3APU149642" target="_blank" >RIV/00216305:26110/23:PU149642 - isvavai.cz</a>
Result on the web
<a href="https://pubs-aip-org.ezproxy.lib.vutbr.cz/aip/acp/article/2849/1/370003/2909250/Solutions-of-linear-discrete-systems-with-a-single" target="_blank" >https://pubs-aip-org.ezproxy.lib.vutbr.cz/aip/acp/article/2849/1/370003/2909250/Solutions-of-linear-discrete-systems-with-a-single</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0162562" target="_blank" >10.1063/5.0162562</a>

Result language
angličtina
Original language name
Solutions of linear discrete systems with a single delay and impulses
Original language description
The paper considers a delayed system of discrete equations x(k + 1) = Ax(k) + Bx(k − m) + f (k) , k = 0 , 1 , . . . , an initial problem x(k) = ϕ (k), k = −m, . . . , 0 and prescribed impulses x(k + 1) = Cx(k + 1 − 0) + J_{ k+ 1} , k = 0 , 1 , . . . , where A, B and C are regular square matrices satisfying ACB = BCA, f and J_{k+ 1} are column vectors, m > 0 is an integer and x is an unknown vector. A formula is derived for a solution satisfying the initial problem and the prescribed impulses.
Czech name
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Czech description
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Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021
ISBN
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ISSN
0094-243X
e-ISSN
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Number of pages
4
Pages from-to
„370003-1“-„370003-4“
Publisher name
American Institute of Physics
Place of publication
Melville (USA)
Event location
Rhodes, Ixia, hotel Sheraton
Event date
Sep 20, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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