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Time-Domain Nu-Gap Robustness Analysis for Shift-Invariant Systems

Khong, Sei Zhen LU and Cantoni, Michael (2013) 52nd IEEE Conference on Decision and Control, 2013
Abstract
A nu-gap measure of distance between linear time-invariant systems is defined in terms of projections onto system graphs directly, without appealing to the existence of normalised strong graph representations as in the literature. A robust stability result is derived by exploiting an assumption on the compactness of a Hankel-type operator in a similar manner to recent developments on time-varying generalisation of the nu-gap metric. For a class of distributed-parameter systems, the proposed nu-gap reduces to the original frequency-domain definition.
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Contribution to conference
publication status
published
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conference name
52nd IEEE Conference on Decision and Control, 2013
conference location
Florence, Italy
conference dates
2013-12-10 - 2013-12-13
language
English
LU publication?
yes
id
9345ddad-d1de-43ee-8f93-b84113ceeb64 (old id 4246792)
date added to LUP
2016-04-04 13:22:00
date last changed
2018-11-21 21:13:30
@misc{9345ddad-d1de-43ee-8f93-b84113ceeb64,
  abstract     = {{A nu-gap measure of distance between linear time-invariant systems is defined in terms of projections onto system graphs directly, without appealing to the existence of normalised strong graph representations as in the literature. A robust stability result is derived by exploiting an assumption on the compactness of a Hankel-type operator in a similar manner to recent developments on time-varying generalisation of the nu-gap metric. For a class of distributed-parameter systems, the proposed nu-gap reduces to the original frequency-domain definition.}},
  author       = {{Khong, Sei Zhen and Cantoni, Michael}},
  language     = {{eng}},
  title        = {{Time-Domain Nu-Gap Robustness Analysis for Shift-Invariant Systems}},
  year         = {{2013}},
}