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Time-varying generalisations of the gap and ν-gap metrics induce the same topology in continuous time

Khong, Sei Zhen LU and Cantoni, Michael (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.
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Contribution to conference
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conference name
European Control Conference, 2013
external identifiers
  • scopus:84893325898
language
English
LU publication?
no
id
97b5ffe3-ced4-4501-a027-9c8059762104 (old id 4246786)
date added to LUP
2014-02-14 12:52:55
date last changed
2017-01-01 08:13:52
@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},
}