Detail publikace

Exponential stability of linear discrete systems with constant coefficients and single delay

DIBLÍK, J. KHUSAINOV, D. BAŠTINEC, J. SIRENKO, A.

Originální název

Exponential stability of linear discrete systems with constant coefficients and single delay

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

In the paper the exponential stability and exponential estimation of the norm of solutions to a linear system of difference equations with single delay x (k + 1) = Ax (k) + Bx (k − m) , k = 0, 1, . . . is studied, where A, B are square constant matrices and m \in N. New sufficient conditions for exponential stability are derived using the method of Lyapunov functions. Illustrative examples are given as well.

Klíčová slova

exponential stability; discrete equation; delay; Lyapunov function; linear system

Autoři

DIBLÍK, J.; KHUSAINOV, D.; BAŠTINEC, J.; SIRENKO, A.

Vydáno

30. 1. 2016

Nakladatel

Elsevier

ISSN

0893-9659

Periodikum

APPLIED MATHEMATICS LETTERS

Ročník

2016

Číslo

51

Stát

Spojené státy americké

Strany od

68

Strany do

73

Strany počet

6

URL

http://dx.doi.org/10.1016/j.aml.2015.07.008

BibTex

@article{BUT128506,
  author="Josef {Diblík} and Denys {Khusainov} and Jaromír {Baštinec} and Andrii {Sirenko}",
  title="Exponential stability of linear discrete systems with constant coefficients and single delay",
  journal="APPLIED MATHEMATICS LETTERS",
  year="2016",
  volume="2016",
  number="51",
  pages="68--73",
  doi="10.1016/j.aml.2015.07.008",
  issn="0893-9659",
  url="http://dx.doi.org/10.1016/j.aml.2015.07.008"
}