Time-varying generalisations of the gap and ν-gap metrics induce the same topology in continuous time
(2013) European Control Conference, 2013- Abstract
- Recent robust stability analysis results for linear time-varying feedback interconnections are based on a time-varying generalisation of the nu-gap metric. The causality of closed-loop mappings is dealt with explicitly, rather than via well-posedness assumptions as is common in the literature. Here, an alternative time-varying gap metric is defined. It is shown that this gives rise to corresponding robust stability results. It is also established that the time-varying gap metric induces the same topology as the generalised nu-gap metric, this being the coarsest under which closed-loop stability and performance are both robust properties.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4246786
- author
- Khong, Sei Zhen LU and Cantoni, Michael
- publishing date
- 2013
- type
- Contribution to conference
- publication status
- published
- subject
- conference name
- European Control Conference, 2013
- conference location
- Zurich, Switzerland
- conference dates
- 2013-07-17 - 2013-07-19
- external identifiers
-
- scopus:84893325898
- language
- English
- LU publication?
- no
- id
- 97b5ffe3-ced4-4501-a027-9c8059762104 (old id 4246786)
- date added to LUP
- 2016-04-04 13:43:04
- date last changed
- 2022-01-30 00:45:55
@misc{97b5ffe3-ced4-4501-a027-9c8059762104,
abstract = {{Recent robust stability analysis results for linear time-varying feedback interconnections are based on a time-varying generalisation of the nu-gap metric. The causality of closed-loop mappings is dealt with explicitly, rather than via well-posedness assumptions as is common in the literature. Here, an alternative time-varying gap metric is defined. It is shown that this gives rise to corresponding robust stability results. It is also established that the time-varying gap metric induces the same topology as the generalised nu-gap metric, this being the coarsest under which closed-loop stability and performance are both robust properties.}},
author = {{Khong, Sei Zhen and Cantoni, Michael}},
language = {{eng}},
title = {{Time-varying generalisations of the gap and ν-gap metrics induce the same topology in continuous time}},
year = {{2013}},
}