Detail publikačního výsledku

Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

DIBLÍK, J.

Originální název

Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

Anglický název

Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

Druh

Článek WoS

Originální abstrakt

The paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.

Anglický abstrakt

The paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.

Klíčová slova

linear discrete systeme; exponential stability, Lyapunov function

Klíčová slova v angličtině

linear discrete systeme; exponential stability, Lyapunov function

Autoři

DIBLÍK, J.

Rok RIV

2018

Vydáno

24.11.2017

Nakladatel

Hindawi

Místo

Spojené Státy Americké

ISSN

1026-0226

Periodikum

DISCRETE DYNAMICS IN NATURE AND SOCIETY

Svazek

2017

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

9

Strany počet

9

URL

https://www.hindawi.com/journals/ddns/2017/7417909/

Plný text v Digitální knihovně

http://hdl.handle.net/11012/193107

BibTex

@article{BUT141742,
  author="Josef {Diblík}",
  title="Exponential stability of linear discrete systems with
variable delays via Lyapunov Second method",
  journal="DISCRETE DYNAMICS IN NATURE AND SOCIETY",
  year="2017",
  volume="2017",
  number="1",
  pages="1--9",
  doi="10.1155/2017/7417909",
  issn="1026-0226",
  url="https://www.hindawi.com/journals/ddns/2017/7417909/"
}

Dokumenty

7417909