Exponential stability of uncertain systems with time-varying delays

Xingjian Jing; Yuechao Wang

doi:10.1109/wcica.2004.1340746

Exponential stability of uncertain systems with time-varying delays

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

Abstract

This paper investigates the exponential stability of a class of uncertain systems with multiple time-varying delays with a new approach. Time delays are assumed to be bounded, independent and arbitrary-varying with only each bound known. A scalar system with a single delay was studied firstly with the new approach. Then a new sufficient criterion for exponential stability of uncertain systems with multiple delays was provided based on comparison principle. Compared with some existing results, our results are less conservative and easy to check. Numerical examples also show that our results are better than some existing ones.

Original language	English
Title of host publication	WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings
Pages	934-938
Volume	2
DOIs	https://doi.org/10.1109/wcica.2004.1340746
Publication status	Published - 2004
Externally published	Yes
Event	WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings - Hangzhou, China Duration: 15 Jun 2004 → 19 Jun 2004

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Volume	2

Conference

Conference	WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings
Country/Territory	China
City	Hangzhou
Period	15/06/04 → 19/06/04

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Exponential stability
Multiple time-varying delays
Uncertain systems

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title = "Exponential stability of uncertain systems with time-varying delays",

abstract = "This paper investigates the exponential stability of a class of uncertain systems with multiple time-varying delays with a new approach. Time delays are assumed to be bounded, independent and arbitrary-varying with only each bound known. A scalar system with a single delay was studied firstly with the new approach. Then a new sufficient criterion for exponential stability of uncertain systems with multiple delays was provided based on comparison principle. Compared with some existing results, our results are less conservative and easy to check. Numerical examples also show that our results are better than some existing ones.",

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language = "English",

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Jing, X & Wang, Y 2004, Exponential stability of uncertain systems with time-varying delays. in WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings. vol. 2, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), vol. 2, pp. 934-938, WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings, Hangzhou, China, 15/06/04. https://doi.org/10.1109/wcica.2004.1340746

Exponential stability of uncertain systems with time-varying delays. / Jing, Xingjian; Wang, Yuechao.
WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings. Vol. 2 2004. p. 934-938 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); Vol. 2).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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T1 - Exponential stability of uncertain systems with time-varying delays

AU - Jing, Xingjian

AU - Wang, Yuechao

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2004

Y1 - 2004

N2 - This paper investigates the exponential stability of a class of uncertain systems with multiple time-varying delays with a new approach. Time delays are assumed to be bounded, independent and arbitrary-varying with only each bound known. A scalar system with a single delay was studied firstly with the new approach. Then a new sufficient criterion for exponential stability of uncertain systems with multiple delays was provided based on comparison principle. Compared with some existing results, our results are less conservative and easy to check. Numerical examples also show that our results are better than some existing ones.

AB - This paper investigates the exponential stability of a class of uncertain systems with multiple time-varying delays with a new approach. Time delays are assumed to be bounded, independent and arbitrary-varying with only each bound known. A scalar system with a single delay was studied firstly with the new approach. Then a new sufficient criterion for exponential stability of uncertain systems with multiple delays was provided based on comparison principle. Compared with some existing results, our results are less conservative and easy to check. Numerical examples also show that our results are better than some existing ones.

KW - Exponential stability

KW - Multiple time-varying delays

KW - Uncertain systems

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DO - 10.1109/wcica.2004.1340746

M3 - RGC 32 - Refereed conference paper (with host publication)

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T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

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BT - WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings

T2 - WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings

Y2 - 15 June 2004 through 19 June 2004

ER -

Exponential stability of uncertain systems with time-varying delays

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