New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay

Luis Felipe Da Cruz Figueredo; João Yoshiyuki Ishihara; Geovany Araújo Borges; Adolfo Bauchspiess

doi:10.1109/CDC.2010.5718169

New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay

Luis Felipe Da Cruz Figueredo, João Yoshiyuki Ishihara, Geovany Araújo Borges, Adolfo Bauchspiess

University of Brasília (UnB)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

8 Scopus citations

Abstract

This paper provides new delay-and-delay-derivative-dependent criteria for systems with the delay and its derivative varying within intervals. With introduction of new Lyapunov-Krasovskii functionals, a less conservative upper bound for the maximum delay is achieved. Examples show that the resulting criteria outperform previously published results in the literature.

Original language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1004-1009
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5718169
State	Published - 2010
Externally published	Yes
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

Keywords

Delayed systems
LMI
Lyapunov function
Stability criterion
Time-varying delay

Access to Document

10.1109/CDC.2010.5718169

Cite this

Da Cruz Figueredo, L. F., Ishihara, J. Y., Borges, G. A., & Bauchspiess, A. (2010). New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 1004-1009). Article 5718169 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5718169

Da Cruz Figueredo, Luis Felipe ; Ishihara, João Yoshiyuki ; Borges, Geovany Araújo et al. / New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay. 2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. pp. 1004-1009 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{473f81ab568449a2aabed16068be3a49,

title = "New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay",

abstract = "This paper provides new delay-and-delay-derivative-dependent criteria for systems with the delay and its derivative varying within intervals. With introduction of new Lyapunov-Krasovskii functionals, a less conservative upper bound for the maximum delay is achieved. Examples show that the resulting criteria outperform previously published results in the literature.",

keywords = "Delayed systems, LMI, Lyapunov function, Stability criterion, Time-varying delay",

author = "{Da Cruz Figueredo}, {Luis Felipe} and Ishihara, {Jo{\~a}o Yoshiyuki} and Borges, {Geovany Ara{\'u}jo} and Adolfo Bauchspiess",

year = "2010",

doi = "10.1109/CDC.2010.5718169",

language = "English",

isbn = "9781424477456",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1004--1009",

booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

}

Da Cruz Figueredo, LF, Ishihara, JY, Borges, GA & Bauchspiess, A 2010, New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5718169, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1004-1009, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5718169

New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay. / Da Cruz Figueredo, Luis Felipe; Ishihara, João Yoshiyuki; Borges, Geovany Araújo et al.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 1004-1009 5718169 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay

AU - Da Cruz Figueredo, Luis Felipe

AU - Ishihara, João Yoshiyuki

AU - Borges, Geovany Araújo

AU - Bauchspiess, Adolfo

PY - 2010

Y1 - 2010

N2 - This paper provides new delay-and-delay-derivative-dependent criteria for systems with the delay and its derivative varying within intervals. With introduction of new Lyapunov-Krasovskii functionals, a less conservative upper bound for the maximum delay is achieved. Examples show that the resulting criteria outperform previously published results in the literature.

AB - This paper provides new delay-and-delay-derivative-dependent criteria for systems with the delay and its derivative varying within intervals. With introduction of new Lyapunov-Krasovskii functionals, a less conservative upper bound for the maximum delay is achieved. Examples show that the resulting criteria outperform previously published results in the literature.

KW - Delayed systems

KW - LMI

KW - Lyapunov function

KW - Stability criterion

KW - Time-varying delay

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U2 - 10.1109/CDC.2010.5718169

DO - 10.1109/CDC.2010.5718169

M3 - Conference contribution

AN - SCOPUS:79953160618

SN - 9781424477456

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1004

EP - 1009

BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 49th IEEE Conference on Decision and Control, CDC 2010

Y2 - 15 December 2010 through 17 December 2010

ER -

Da Cruz Figueredo LF, Ishihara JY, Borges GA, Bauchspiess A. New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay. In 2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc. 2010. p. 1004-1009. 5718169. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2010.5718169

New delay-and-delay-derivative-dependent stability criteria for systems with time-varying delay

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