Publication detail

Simple tests for uniform exponential stability of a linear delayed vector differential equation

BEREZANSKY, L. DIBLÍK, J. SVOBODA, Z. ŠMARDA, Z.

Original Title

Simple tests for uniform exponential stability of a linear delayed vector differential equation

Type

journal article in Web of Science

Language

English

Original Abstract

A linear delayed vector equation is nvestigated. The system is considered in the most general setting and under weak assumptions about the entries of matrices and delays. The main result on uniform exponential stability is universal in the sense that it generates a set of independent explicit statements (that can depend on all delays) on uniform exponential stability. The advantages over the existing results are demonstrated. The main tools employed by the paper include the Bohl-Perron method, a priori estimates of solutions, and transformations of differential equations.given.

Keywords

Delay; Bohl-Perron method; exponential stabilty; linear differential system; matrix measure; stability test.

Authors

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z.

Released

1. 3. 2022

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA

Location

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA

ISBN

0018-9286

Periodical

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Year of study

8

Number

3

State

United States of America

Pages from

1537

Pages to

1542

Pages count

7

URL

https://ieeexplore.ieee.org/document/9392301

BibTex

@article{BUT175472,
  author="Leonid {Berezansky} and Josef {Diblík} and Zdeněk {Svoboda} and Zdeněk {Šmarda}",
  title="Simple tests for uniform exponential stability of a linear delayed vector differential equation",
  journal="IEEE TRANSACTIONS ON AUTOMATIC CONTROL",
  year="2022",
  volume="8",
  number="3",
  pages="1537--1542",
  doi="10.1109/TAC.2021.3069901",
  issn="0018-9286",
  url="https://ieeexplore.ieee.org/document/9392301"
}