Detail publikace

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

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.

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.",
  address="Univerzita obrany v Brně",
  booktitle="MITAV 2017 (Matematika, informační technologie a aplikované vědy)",
  chapter="137314",
  howpublished="electronic, physical medium",
  institution="Univerzita obrany v Brně",
  year="2017",
  month="june",
  pages="1--8",
  publisher="Univerzita obrany v Brně",
  type="conference paper"
}