Detail publikace

Linear Difference Weakly Delayed Systems, the Case of Complex Conjugate Eigenvalues of the Matrix of Non-Delayed Terms

Originální název

Linear Difference Weakly Delayed Systems, the Case of Complex Conjugate Eigenvalues of the Matrix of Non-Delayed Terms

Anglický název

Linear Difference Weakly Delayed Systems, the Case of Complex Conjugate Eigenvalues of the Matrix of Non-Delayed Terms

Jazyk

en

Originální abstrakt

A linear weakly delayed 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 $m \geq 1$ is an integer. Assuming that the characteristic equation of the matrix $A$ has a pair of complex conjugate roots, the general solution of the given system is constructed.

Anglický abstrakt

A linear weakly delayed 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 $m \geq 1$ is an integer. Assuming that the characteristic equation of the matrix $A$ has a pair of complex conjugate roots, the general solution of the given system is constructed.

Dokumenty

BibTex


@inproceedings{BUT142577,
  author="Jan {Šafařík} and Josef {Diblík}",
  title="Linear Difference Weakly Delayed Systems, the Case of Complex Conjugate Eigenvalues of the Matrix of Non-Delayed Terms",
  annote="A linear weakly delayed 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 $m \geq 1$ is an integer. Assuming that the characteristic equation of the matrix $A$ has a pair of complex conjugate roots, the general solution of the given system is constructed.",
  address="Univerzita obrany v Brně",
  booktitle="MITAV 2017 (Matematika, informační technologie a aplikované vědy), Post-conference proceedings of extended versions of selected papers",
  chapter="142577",
  howpublished="online",
  institution="Univerzita obrany v Brně",
  year="2017",
  month="december",
  pages="235--247",
  publisher="Univerzita obrany v Brně",
  type="conference paper"
}