Additive, multiplicative and inverse multiplicative robust stability: Connections with the ν-gap metric

Brian D.O. Anderson; Thomas Brinsmead

doi:10.1109/CDC.2001.980287

Additive, multiplicative and inverse multiplicative robust stability: Connections with the ν-gap metric

Brian D.O. Anderson^*, Thomas Brinsmead

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

Existing Robust Stability-Results based on the ν-gap metric can be extended by the introduction of various weighting functions. By appropriately specialising these weighting functions it is possible to recover earlier robust stability results based on additive, multiplicative and inverse multiplicative uncertainty models. In this way it is demonstrated that some of these classical robustness conditions are a special case of the extended ν-gap Robust Stability tests.

Original language	English
Pages (from-to)	3069-3074
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
DOIs	https://doi.org/10.1109/CDC.2001.980287
Publication status	Published - 2001
Event	40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 4 Dec 2001 → 7 Dec 2001

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10.1109/CDC.2001.980287

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abstract = "Existing Robust Stability-Results based on the ν-gap metric can be extended by the introduction of various weighting functions. By appropriately specialising these weighting functions it is possible to recover earlier robust stability results based on additive, multiplicative and inverse multiplicative uncertainty models. In this way it is demonstrated that some of these classical robustness conditions are a special case of the extended ν-gap Robust Stability tests.",

author = "Anderson, \{Brian D.O.\} and Thomas Brinsmead",

year = "2001",

doi = "10.1109/CDC.2001.980287",

language = "English",

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

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note = "40th IEEE Conference on Decision and Control (CDC) ; Conference date: 04-12-2001 Through 07-12-2001",

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T2 - 40th IEEE Conference on Decision and Control (CDC)

AU - Anderson, Brian D.O.

AU - Brinsmead, Thomas

PY - 2001

Y1 - 2001

N2 - Existing Robust Stability-Results based on the ν-gap metric can be extended by the introduction of various weighting functions. By appropriately specialising these weighting functions it is possible to recover earlier robust stability results based on additive, multiplicative and inverse multiplicative uncertainty models. In this way it is demonstrated that some of these classical robustness conditions are a special case of the extended ν-gap Robust Stability tests.

AB - Existing Robust Stability-Results based on the ν-gap metric can be extended by the introduction of various weighting functions. By appropriately specialising these weighting functions it is possible to recover earlier robust stability results based on additive, multiplicative and inverse multiplicative uncertainty models. In this way it is demonstrated that some of these classical robustness conditions are a special case of the extended ν-gap Robust Stability tests.

UR - https://www.scopus.com/pages/publications/0035713199

UR - https://users.cecs.anu.edu.au/~briandoa/pubs/hidden/C265AN717.pdf

U2 - 10.1109/CDC.2001.980287

DO - 10.1109/CDC.2001.980287

M3 - Conference article

AN - SCOPUS:0035713199

SN - 0191-2216

VL - 4

SP - 3069

EP - 3074

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 4 December 2001 through 7 December 2001

ER -

Additive, multiplicative and inverse multiplicative robust stability: Connections with the ν-gap metric

Abstract

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