Detail publikace

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

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

Jazyk

en

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.

Plný text v Digitální knihovně

BibTex

``````
@article{BUT141742,
author="Josef {Diblík}",
title="Exponential stability of linear discrete systems with
variable delays via Lyapunov Second method",
annote="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.",