A note on block relative gain and Euclidean condition number

Jie Chen

doi:10.1109/CDC.1990.203806

A note on block relative gain and Euclidean condition number

Jie Chen

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

2 Citations (Scopus)

Abstract

New relations between the block relative gain and condition number are developed that complement previously available results. It is shown that the condition number must be large if the corresponding block relative gain has a large maximum singular value, and the minimal condition number must be large if the block relative gain has a large structured singular value. These results are useful in clarifying the role of block relative gain as a measure of potential design difficulties associated with a certain class of plants.

Original language	English
Pages (from-to)	1239-1240
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/CDC.1990.203806
Publication status	Published - 1990
Externally published	Yes
Event	Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) - Honolulu, HI, USA Duration: 5 Dec 1990 → 7 Dec 1990

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title = "A note on block relative gain and Euclidean condition number",

abstract = "New relations between the block relative gain and condition number are developed that complement previously available results. It is shown that the condition number must be large if the corresponding block relative gain has a large maximum singular value, and the minimal condition number must be large if the block relative gain has a large structured singular value. These results are useful in clarifying the role of block relative gain as a measure of potential design difficulties associated with a certain class of plants.",

author = "Jie Chen",

year = "1990",

doi = "10.1109/CDC.1990.203806",

language = "English",

volume = "3",

pages = "1239--1240",

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

issn = "0191-2216",

publisher = "IEEE",

note = "Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6) ; Conference date: 05-12-1990 Through 07-12-1990",

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TY - JOUR

T1 - A note on block relative gain and Euclidean condition number

AU - Chen, Jie

PY - 1990

Y1 - 1990

N2 - New relations between the block relative gain and condition number are developed that complement previously available results. It is shown that the condition number must be large if the corresponding block relative gain has a large maximum singular value, and the minimal condition number must be large if the block relative gain has a large structured singular value. These results are useful in clarifying the role of block relative gain as a measure of potential design difficulties associated with a certain class of plants.

AB - New relations between the block relative gain and condition number are developed that complement previously available results. It is shown that the condition number must be large if the corresponding block relative gain has a large maximum singular value, and the minimal condition number must be large if the block relative gain has a large structured singular value. These results are useful in clarifying the role of block relative gain as a measure of potential design difficulties associated with a certain class of plants.

UR - https://www.scopus.com/pages/publications/0025534077

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0025534077&origin=recordpage

U2 - 10.1109/CDC.1990.203806

DO - 10.1109/CDC.1990.203806

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

VL - 3

SP - 1239

EP - 1240

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 29th IEEE Conference on Decision and Control Part 6 (of 6)

Y2 - 5 December 1990 through 7 December 1990

ER -

A note on block relative gain and Euclidean condition number

Abstract

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