Detail publikačního výsledku

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J.

Originální název

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

Anglický název

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.

Anglický abstrakt

The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.

Klíčová slova

Conditional stability, conditional asymptotic stability, weakly delayed system, discrete system

Klíčová slova v angličtině

Conditional stability, conditional asymptotic stability, weakly delayed system, discrete system

Autoři

DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J.

Rok RIV

2016

Vydáno

25.04.2015

Nakladatel

WSEAS Press

Místo

Kuala Lumpur, Malaysia

ISBN

978-1-61804-302-3

Kniha

Recent Advances in Mathematical and Computational Methods

Edice

Mathematics and Computers in Science in Science and Engineering Series | 44

Strany od

111

Strany do

117

Strany počet

7

URL

http://www.wseas.org/

BibTex

@inproceedings{BUT123370,
  author="Josef {Diblík} and Hana {Boháčková} and Jan {Šafařík}",
  title="Conditional Stability of Weakly Delayed Planar Linear Discrete Systems",
  booktitle="Recent Advances in Mathematical and Computational Methods",
  year="2015",
  series="Mathematics and Computers in Science in Science and Engineering Series | 44",
  pages="111--117",
  publisher="WSEAS Press",
  address="Kuala Lumpur, Malaysia",
  isbn="978-1-61804-302-3",
  url="http://www.wseas.org/"
}