Detail publikace

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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.

Klíčová slova

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

Autoři

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

Rok RIV

2015

Vydáno

25. 4. 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/"
}