Detail publikace

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

ŠAFAŘÍK, J. DIBLÍK, J.

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

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.",
}