Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

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.

Anglický 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.

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",
annote="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.",
}