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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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52nd IEEE Conference on Decision and Control, 2013
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English
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yes
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9345ddad-d1de-43ee-8f93-b84113ceeb64 (old id 4246792)
date added to LUP
2014-02-14 12:55:54
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@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},
}