Detail publikace

Solutions of linear discrete systems with a single delay and impulses

MORÁVKOVÁ, B. DIBLÍK, J.

Originální název

Solutions of linear discrete systems with a single delay and impulses

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

discrete equation, delay, impulse; formula for solutions

Autoři

MORÁVKOVÁ, B.; DIBLÍK, J.

Vydáno

1. 9. 2023

Nakladatel

American Institute of Physics

Místo

Melville (USA)

ISSN

0094-243X

Periodikum

AIP conference proceedings

Ročník

2849

Číslo

1

Stát

Spojené státy americké

Strany od

370003-1

Strany do

370003-4

Strany počet

4

URL