Time-Domain Nu-Gap Robustness Analysis for Shift-Invariant Systems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4246792
- author
- Khong, Sei Zhen LU and Cantoni, Michael
- organization
- publishing date
- 2013
- type
- Contribution to conference
- publication status
- published
- subject
- 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}}, }