Publication detail

# Stability of linear discrete systems with constant coefficients and single delay

BAŠTINEC, J. MENCÁKOVÁ, K.

Original Title

Stability of linear discrete systems with constant coefficients and single delay

English Title

Stability of linear discrete systems with constant coefficients and single delay

Type

conference paper

Language

en

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 x {k+1}=Ax( k)+Bx {k-m}, k=0,1, ..., where A, B are square constant matrices and m is natural. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.

English 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 x {k+1}=Ax( k)+Bx {k-m}, k=0,1, ..., where A, B are square constant matrices and m is natural. 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.

Released

08.06.2016

Publisher

University of Bialystok, Poland

Location

Bialystok, Poland

ISBN

978-83-7431-478-7

Book

7th Podlasie Conference on Mathematics

Pages from

25

Pages to

26

Pages count

2

Documents

BibTex

``````
@inproceedings{BUT125920,
author="Jaromír {Baštinec} and Kristýna {Mencáková}",
title="Stability of linear discrete systems with constant coefficients and single delay",
annote="The  paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay x {k+1}=Ax( k)+Bx {k-m}, k=0,1, ..., where A, B are square constant matrices and m is natural.
Sufficient conditions for exponential stability are derived using the method of Lyapunov functions
and its efficiency is demonstrated by examples.
",