Robust stability of time-delay systems with uncertain parameters

Z. H. Wang; H. Y. Hu

doi:10.1007/978-1-4020-6332-9_37

Robust stability of time-delay systems with uncertain parameters

Z. H. Wang^*
, H. Y. Hu

^*Corresponding author for this work

Nanjing University of Aeronautics and Astronautics

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

3 Citations (Scopus)

Abstract

This paper presents a brief survey on the robust stability analysis of time-delay systems against parametric uncertainties. It focuses on the case when the systems involve uncertain parameters falling into some intervals respectively, and their characteristic quasi-polynomials depend linearly on the uncertain parameters. The "Edge Theorem", the method of stability switch and a graphic test are applied for the robust stability analysis, and are demonstrated through an example of time-delay system of single degree of freedom.

Original language	English
Title of host publication	IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium
Publisher	Springer Verlag
Pages	363-372
Number of pages	10
ISBN (Print)	9781402063312
DOIs	https://doi.org/10.1007/978-1-4020-6332-9_37
Publication status	Published - 2007
Externally published	Yes
Event	IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Nanjing, China Duration: 18 Sept 2006 → 22 Sept 2006

Publication series

Name	Solid Mechanics and its Applications
Volume	2
ISSN (Print)	1875-3507

Conference

Conference	IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty
Country/Territory	China
City	Nanjing
Period	18/09/06 → 22/09/06

Keywords

Robust stability
Time delay
Uncertain parameters

Access to Document

10.1007/978-1-4020-6332-9_37

Cite this

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title = "Robust stability of time-delay systems with uncertain parameters",

abstract = "This paper presents a brief survey on the robust stability analysis of time-delay systems against parametric uncertainties. It focuses on the case when the systems involve uncertain parameters falling into some intervals respectively, and their characteristic quasi-polynomials depend linearly on the uncertain parameters. The {"}Edge Theorem{"}, the method of stability switch and a graphic test are applied for the robust stability analysis, and are demonstrated through an example of time-delay system of single degree of freedom.",

keywords = "Robust stability, Time delay, Uncertain parameters",

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doi = "10.1007/978-1-4020-6332-9\_37",

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isbn = "9781402063312",

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pages = "363--372",

booktitle = "IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium",

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note = "IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty ; Conference date: 18-09-2006 Through 22-09-2006",

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Wang, ZH & Hu, HY 2007, Robust stability of time-delay systems with uncertain parameters. in IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium. Solid Mechanics and its Applications, vol. 2, Springer Verlag, pp. 363-372, IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty, Nanjing, China, 18/09/06. https://doi.org/10.1007/978-1-4020-6332-9_37

Robust stability of time-delay systems with uncertain parameters. / Wang, Z. H.; Hu, H. Y.
IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium. Springer Verlag, 2007. p. 363-372 (Solid Mechanics and its Applications; Vol. 2).

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

TY - GEN

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AU - Wang, Z. H.

AU - Hu, H. Y.

PY - 2007

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N2 - This paper presents a brief survey on the robust stability analysis of time-delay systems against parametric uncertainties. It focuses on the case when the systems involve uncertain parameters falling into some intervals respectively, and their characteristic quasi-polynomials depend linearly on the uncertain parameters. The "Edge Theorem", the method of stability switch and a graphic test are applied for the robust stability analysis, and are demonstrated through an example of time-delay system of single degree of freedom.

AB - This paper presents a brief survey on the robust stability analysis of time-delay systems against parametric uncertainties. It focuses on the case when the systems involve uncertain parameters falling into some intervals respectively, and their characteristic quasi-polynomials depend linearly on the uncertain parameters. The "Edge Theorem", the method of stability switch and a graphic test are applied for the robust stability analysis, and are demonstrated through an example of time-delay system of single degree of freedom.

KW - Robust stability

KW - Time delay

KW - Uncertain parameters

UR - https://www.scopus.com/pages/publications/84861136562

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DO - 10.1007/978-1-4020-6332-9_37

M3 - Conference contribution

AN - SCOPUS:84861136562

SN - 9781402063312

T3 - Solid Mechanics and its Applications

SP - 363

EP - 372

BT - IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty - Proceedings of the IUTAM Symposium

PB - Springer Verlag

T2 - IUTAM Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty

Y2 - 18 September 2006 through 22 September 2006

ER -

Robust stability of time-delay systems with uncertain parameters

Abstract

Publication series

Conference

Keywords

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