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Reconciling nu-Gap Metric and IQC Based Robust Stability Analysis

Khong, Sei Zhen LU and Cantoni, Michael (2013) In IEEE Transactions on Automatic Control 58(8).
Abstract
This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown... (More)
This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein. (Less)
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Automatic Control
volume
58
issue
8
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:84880888778
ISSN
0018-9286
DOI
10.1109/TAC.2013.2246496
language
English
LU publication?
no
id
31137143-025b-4911-8b1c-a110c311edbe (old id 4246734)
date added to LUP
2014-02-14 12:37:20
date last changed
2016-10-13 04:55:33
@misc{31137143-025b-4911-8b1c-a110c311edbe,
  abstract     = {This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein.},
  author       = {Khong, Sei Zhen and Cantoni, Michael},
  issn         = {0018-9286},
  language     = {eng},
  number       = {8},
  publisher    = {ARRAY(0x141b87d8)},
  series       = {IEEE Transactions on Automatic Control},
  title        = {Reconciling nu-Gap Metric and IQC Based Robust Stability Analysis},
  url          = {http://dx.doi.org/10.1109/TAC.2013.2246496},
  volume       = {58},
  year         = {2013},
}