Publication detail

# Solution of weakly delayed systems in the case of complex conjugate roots of characteristic equation

ŠAFAŘÍK, J. DIBLÍK, J.

Original Title

Solution of weakly delayed systems in the case of complex conjugate roots of characteristic equation

English Title

Solution of weakly delayed systems in the case of complex conjugate roots of characteristic equation

Type

conference paper

Language

en

Original Abstract

Linear discrete system with single delay $$x(k+1) = Ax(k) + Bx(k-m),\ k = 0, 1, \dots,$$ in $\mathbb{R}^3$ is considered, where $A$ and $B$ are $3 \times 3$ matrices and $m > 1$ is an integer. Assuming that the characteristic equation has a couple of complex conjugate roots, general solution of given system is constructed.

English abstract

Linear discrete system with single delay $$x(k+1) = Ax(k) + Bx(k-m),\ k = 0, 1, \dots,$$ in $\mathbb{R}^3$ is considered, where $A$ and $B$ are $3 \times 3$ matrices and $m > 1$ is an integer. Assuming that the characteristic equation has a couple of complex conjugate roots, general solution of given system is constructed.

Keywords

Discrete system, weakly delayed system, linear system, initial problem.

Released

15.06.2017

Publisher

Univerzita obrany v Brně

Location

Brno

ISBN

978-80-7231-417-1

Book

MITAV 2017 (Matematika, informační technologie a aplikované vědy)

Edition number

1

Pages from

1

Pages to

8

Pages count

8

URL

Documents

BibTex


@inproceedings{BUT137314,
author="Jan {Šafařík} and Josef {Diblík}",
title="Solution of weakly delayed systems in the case of complex conjugate roots of characteristic equation",
annote="Linear discrete system with single delay
$$x(k+1) = Ax(k) + Bx(k-m),\ k = 0, 1, \dots,$$
in $\mathbb{R}^3$ is considered, where $A$ and $B$ are $3 \times 3$ matrices and $m > 1$ is an integer. Assuming that the characteristic equation has a couple of complex conjugate roots, general solution of given system is constructed.",
}