Publication detail

STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

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

Original Title

STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

Type

journal article in Web of Science

Language

English

Original Abstract

The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay \begin{equation*} x\left( {k+1} \right)=Ax\left( k \right)+Bx\left( {k-m} \right), \quad k=0,1,\dots \end{equation*} where $A$, $B$ are square constant matrices and $m\in\mathbb{N}$. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.

Keywords

Stability; Lyapunov function; delay; discrete system; matrix equation.

Authors

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

RIV year

2015

Released

8. 8. 2015

Publisher

Elsevier

ISBN

0096-3003

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Year of study

269

Number

1

State

United States of America

Pages from

9

Pages to

16

Pages count

8

URL

http://www.sciencedirect.com/science/article/pii/S0096300315009492

BibTex

@article{BUT116952,
  author="Josef {Diblík} and Denys {Khusainov} and Jaromír {Baštinec} and Andrii {Sirenko}",
  title="STABILITY AND EXPONENTIAL  STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2015",
  volume="269",
  number="1",
  pages="9--16",
  doi="10.1016/j.amc.2015.07.037",
  issn="0096-3003",
  url="http://www.sciencedirect.com/science/article/pii/S0096300315009492"
}