Detail publikace

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

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

Originální název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

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

Vydáno

1. 3. 2022

Nakladatel

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

Místo

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

ISSN

0018-9286

Periodikum

IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Ročník

8

Číslo

3

Stát

Spojené státy americké

Strany od

1537

Strany do

1542

Strany počet

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"
}