Detail publikace

On stability and stabilization of some discrete dynamical systems

ČERMÁK, J. JÁNSKÝ, J. MATSUNAGA, H.

Originální název

On stability and stabilization of some discrete dynamical systems

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper formulates effective and non-improvable stability conditions for a linear difference system involving two integer delays. The utilized technique combines algorithm of the discrete D-decomposition method with some procedures of the polynomial theory. Contrary to the related existing results, the derived conditions are fully explicit with respect to both delays which enables their simple applicability in various scientific and engineering areas. As an illustration, we show their importance in delayed feedback controls of discrete dynamical systems, with a particular emphasize put on stabilization of unstable steady states of the discrete logistic map.

Klíčová slova

Stability theory; difference equation; characteristic polynomial: location of zeros, stabilization of systems by feedback

Autoři

ČERMÁK, J.; JÁNSKÝ, J.; MATSUNAGA, H.

Vydáno

15. 7. 2018

Nakladatel

John Wiley & Sons Ltd

Místo

RIVER ST, HOBOKEN 07030-5774, NJ USA

ISSN

0170-4214

Periodikum

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Ročník

41

Číslo

10

Stát

Spojené království Velké Británie a Severního Irska

Strany od

3684

Strany do

3695

Strany počet

12

URL

https://doi.org/10.1002/mma.4855

BibTex

@article{BUT154981,
  author="ČERMÁK, J. and JÁNSKÝ, J. and MATSUNAGA, H.",
  title="On stability and stabilization of some discrete dynamical systems",
  journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
  year="2018",
  volume="41",
  number="10",
  pages="3684--3695",
  doi="10.1002/mma.4855",
  issn="0170-4214",
  url="https://doi.org/10.1002/mma.4855"
}