Comments on finite-time stability of time-delay systems

Denis Efimov; Andrey Polyakov; Emilia Fridman; Wilfrid Perruquetti; Jean Pierre Richard

doi:10.1016/j.automatica.2014.05.010

Comments on finite-time stability of time-delay systems

Denis Efimov, Andrey Polyakov, Emilia Fridman, Wilfrid Perruquetti, Jean Pierre Richard

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given.

Original language	English
Pages (from-to)	1944-1947
Number of pages	4
Journal	Automatica
Volume	50
Issue number	7
DOIs	https://doi.org/10.1016/j.automatica.2014.05.010
State	Published - Jul 2014

Keywords

Finite-time stability
The Lyapunov-Razumikhin method
Time-delay systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2014.05.010

Cite this

@article{b7edea6c6c9b472f97b925127ee3246d,

title = "Comments on finite-time stability of time-delay systems",

abstract = "Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given.",

keywords = "Finite-time stability, The Lyapunov-Razumikhin method, Time-delay systems",

author = "Denis Efimov and Andrey Polyakov and Emilia Fridman and Wilfrid Perruquetti and Richard, \{Jean Pierre\}",

note = "Funding Information: This work was partially supported by the Government of Russian Federation (Grant 074-U01 ), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031 ) and by Israel Science Foundation (Grant No. 754/10 ). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Keqin Gu under the direction of Editor Andr{\'e} L. Tits.",

year = "2014",

month = jul,

doi = "10.1016/j.automatica.2014.05.010",

language = "الإنجليزيّة",

volume = "50",

pages = "1944--1947",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

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T1 - Comments on finite-time stability of time-delay systems

AU - Efimov, Denis

AU - Polyakov, Andrey

AU - Fridman, Emilia

AU - Perruquetti, Wilfrid

AU - Richard, Jean Pierre

N1 - Funding Information: This work was partially supported by the Government of Russian Federation (Grant 074-U01 ), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031 ) and by Israel Science Foundation (Grant No. 754/10 ). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Keqin Gu under the direction of Editor André L. Tits.

PY - 2014/7

Y1 - 2014/7

N2 - Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given.

AB - Recently proposed conditions on finite-time stability in time-delay systems are revisited and it is shown that they are incorrect. General comments on possibility of finite-time convergence in time-delay systems and a necessary condition are given.

KW - Finite-time stability

KW - The Lyapunov-Razumikhin method

KW - Time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=84904695665&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2014.05.010

DO - 10.1016/j.automatica.2014.05.010

M3 - مقالة

SN - 0005-1098

VL - 50

SP - 1944

EP - 1947

JO - Automatica

JF - Automatica

IS - 7

ER -

Comments on finite-time stability of time-delay systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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