An alternative characterization of robust stability and stability radius for linear time delay systems

H. Sadaka; B. Shafai; R. Sipahi; J. Chen

doi:10.1109/CDC.2007.4434944

An alternative characterization of robust stability and stability radius for linear time delay systems

H. Sadaka, B. Shafai, R. Sipahi, J. Chen

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

3 Citations (Scopus)

Abstract

This paper considers the problems of robust stability and stability radius pertaining to certain linear time delay systems. The aim is to establish the connection between recently published results on robust stability of time-delay systems based on matrix inequalities and computation of stability radius. As a result of this connection, an alternative formula to compute the real stability radius of time-delay systems with structured uncertainties is provided. We also report on explicit formulas for stability radius of special classes of time-delay systems. © 2007 IEEE.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	2112-2116
DOIs	https://doi.org/10.1109/CDC.2007.4434944
Publication status	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control, CDC 2007 - New Orleans, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name
ISSN (Print)	0191-2216

Conference

Conference	46th IEEE Conference on Decision and Control, CDC 2007
Abbreviated title	CDC 2007
Place	United States
City	New Orleans
Period	12/12/07 → 14/12/07

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10.1109/CDC.2007.4434944

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title = "An alternative characterization of robust stability and stability radius for linear time delay systems",

abstract = "This paper considers the problems of robust stability and stability radius pertaining to certain linear time delay systems. The aim is to establish the connection between recently published results on robust stability of time-delay systems based on matrix inequalities and computation of stability radius. As a result of this connection, an alternative formula to compute the real stability radius of time-delay systems with structured uncertainties is provided. We also report on explicit formulas for stability radius of special classes of time-delay systems. {\textcopyright} 2007 IEEE.",

author = "H. Sadaka and B. Shafai and R. Sipahi and J. Chen",

year = "2007",

doi = "10.1109/CDC.2007.4434944",

language = "English",

isbn = "1424414989",

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note = "46th IEEE Conference on Decision and Control, CDC 2007, CDC 2007 ; Conference date: 12-12-2007 Through 14-12-2007",

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Sadaka, H, Shafai, B, Sipahi, R & Chen, J 2007, An alternative characterization of robust stability and stability radius for linear time delay systems. in Proceedings of the IEEE Conference on Decision and Control., 4434944, pp. 2112-2116, 46th IEEE Conference on Decision and Control, CDC 2007, New Orleans, Louisiana, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434944

An alternative characterization of robust stability and stability radius for linear time delay systems. / Sadaka, H.; Shafai, B.; Sipahi, R. et al.
Proceedings of the IEEE Conference on Decision and Control. 2007. p. 2112-2116 4434944.

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

TY - GEN

T1 - An alternative characterization of robust stability and stability radius for linear time delay systems

AU - Sadaka, H.

AU - Shafai, B.

AU - Sipahi, R.

AU - Chen, J.

PY - 2007

Y1 - 2007

N2 - This paper considers the problems of robust stability and stability radius pertaining to certain linear time delay systems. The aim is to establish the connection between recently published results on robust stability of time-delay systems based on matrix inequalities and computation of stability radius. As a result of this connection, an alternative formula to compute the real stability radius of time-delay systems with structured uncertainties is provided. We also report on explicit formulas for stability radius of special classes of time-delay systems. © 2007 IEEE.

AB - This paper considers the problems of robust stability and stability radius pertaining to certain linear time delay systems. The aim is to establish the connection between recently published results on robust stability of time-delay systems based on matrix inequalities and computation of stability radius. As a result of this connection, an alternative formula to compute the real stability radius of time-delay systems with structured uncertainties is provided. We also report on explicit formulas for stability radius of special classes of time-delay systems. © 2007 IEEE.

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U2 - 10.1109/CDC.2007.4434944

DO - 10.1109/CDC.2007.4434944

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

SN - 1424414989

SN - 9781424414987

SP - 2112

EP - 2116

BT - Proceedings of the IEEE Conference on Decision and Control

T2 - 46th IEEE Conference on Decision and Control, CDC 2007

Y2 - 12 December 2007 through 14 December 2007

ER -

An alternative characterization of robust stability and stability radius for linear time delay systems

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