A stability robustness test for systems with linear time-varying uncertainties

Wynita M. Griggs; Alexander Lanzon; Brian D.O. Anderson

doi:10.1109/CDC.2005.1582729

A stability robustness test for systems with linear time-varying uncertainties

Wynita M. Griggs^*, Alexander Lanzon, Brian D.O. Anderson

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper, a novel stability robustness test for systems with linear time-varying uncertainties is introduced. The advantages of the stability robustness test lie in the fact that it can cope with multi-input multi-output, stable, or unstable systems whose linear time-varying uncertainties can be represented by a standard structured uncertainty model, and that the implementation of the test is straightforward. The tool used to provide the means of determining system stability robustness is the linear time-invariant v-gap metric.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	3651-3656
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582729
Publication status	Published - 2005
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

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10.1109/CDC.2005.1582729

Cite this

Griggs, W. M., Lanzon, A., & Anderson, B. D. O. (2005). A stability robustness test for systems with linear time-varying uncertainties. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 3651-3656). Article 1582729 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582729

Griggs, Wynita M. ; Lanzon, Alexander ; Anderson, Brian D.O. / A stability robustness test for systems with linear time-varying uncertainties. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. pp. 3651-3656 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05).

@inproceedings{0175216b2c8f4f178a4dd65b816bea69,

title = "A stability robustness test for systems with linear time-varying uncertainties",

abstract = "In this paper, a novel stability robustness test for systems with linear time-varying uncertainties is introduced. The advantages of the stability robustness test lie in the fact that it can cope with multi-input multi-output, stable, or unstable systems whose linear time-varying uncertainties can be represented by a standard structured uncertainty model, and that the implementation of the test is straightforward. The tool used to provide the means of determining system stability robustness is the linear time-invariant v-gap metric.",

author = "Griggs, {Wynita M.} and Alexander Lanzon and Anderson, {Brian D.O.}",

year = "2005",

doi = "10.1109/CDC.2005.1582729",

language = "English",

isbn = "0780395689",

series = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

pages = "3651--3656",

booktitle = "Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05",

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

}

Griggs, WM, Lanzon, A & Anderson, BDO 2005, A stability robustness test for systems with linear time-varying uncertainties. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582729, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 3651-3656, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582729

A stability robustness test for systems with linear time-varying uncertainties. / Griggs, Wynita M.; Lanzon, Alexander; Anderson, Brian D.O.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 3651-3656 1582729 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

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

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AU - Griggs, Wynita M.

AU - Lanzon, Alexander

AU - Anderson, Brian D.O.

PY - 2005

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N2 - In this paper, a novel stability robustness test for systems with linear time-varying uncertainties is introduced. The advantages of the stability robustness test lie in the fact that it can cope with multi-input multi-output, stable, or unstable systems whose linear time-varying uncertainties can be represented by a standard structured uncertainty model, and that the implementation of the test is straightforward. The tool used to provide the means of determining system stability robustness is the linear time-invariant v-gap metric.

AB - In this paper, a novel stability robustness test for systems with linear time-varying uncertainties is introduced. The advantages of the stability robustness test lie in the fact that it can cope with multi-input multi-output, stable, or unstable systems whose linear time-varying uncertainties can be represented by a standard structured uncertainty model, and that the implementation of the test is straightforward. The tool used to provide the means of determining system stability robustness is the linear time-invariant v-gap metric.

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U2 - 10.1109/CDC.2005.1582729

DO - 10.1109/CDC.2005.1582729

M3 - Conference contribution

SN - 0780395689

SN - 9780780395688

T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

SP - 3651

EP - 3656

BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Y2 - 12 December 2005 through 15 December 2005

ER -

Griggs WM, Lanzon A, Anderson BDO. A stability robustness test for systems with linear time-varying uncertainties. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 3651-3656. 1582729. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582729

A stability robustness test for systems with linear time-varying uncertainties

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