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Gap metrics for time-varying linear systems in a continuous-time setting

Khong, Sei Zhen LU and Cantoni, Michael (2014) In Systems & Control Letters 70. p.118-126
Abstract
A recently proposed time-varying generalisation of Vinnicombe's v-gap is shown to have the properties of a metric on a class of causal linear continuous-time systems that admit normalised strong graph representations. An alternative time-varying gap metric is then defined in more general terms and a corresponding robust stability result is derived for linear feedback interconnections. Finally, it is shown that the time-varying gap and v-gap metrics induce the same topology, this being the coarsest topology under which feedback stability and closed-loop sensitivity are both robust properties. (C) 2014 Elsevier B.V. All rights reserved.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Feedback, Linear time-varying systems, Robust stability
in
Systems & Control Letters
volume
70
pages
118 - 126
publisher
Elsevier
external identifiers
  • wos:000340334700015
  • scopus:84903591431
ISSN
0167-6911
DOI
10.1016/j.sysconle.2014.06.003
language
English
LU publication?
yes
id
6cf02921-0de9-4b10-aae2-ecf10a996aac (old id 4659643)
date added to LUP
2014-09-25 12:58:01
date last changed
2017-07-02 03:20:21
@article{6cf02921-0de9-4b10-aae2-ecf10a996aac,
  abstract     = {A recently proposed time-varying generalisation of Vinnicombe's v-gap is shown to have the properties of a metric on a class of causal linear continuous-time systems that admit normalised strong graph representations. An alternative time-varying gap metric is then defined in more general terms and a corresponding robust stability result is derived for linear feedback interconnections. Finally, it is shown that the time-varying gap and v-gap metrics induce the same topology, this being the coarsest topology under which feedback stability and closed-loop sensitivity are both robust properties. (C) 2014 Elsevier B.V. All rights reserved.},
  author       = {Khong, Sei Zhen and Cantoni, Michael},
  issn         = {0167-6911},
  keyword      = {Feedback,Linear time-varying systems,Robust stability},
  language     = {eng},
  pages        = {118--126},
  publisher    = {Elsevier},
  series       = {Systems & Control Letters},
  title        = {Gap metrics for time-varying linear systems in a continuous-time setting},
  url          = {http://dx.doi.org/10.1016/j.sysconle.2014.06.003},
  volume       = {70},
  year         = {2014},
}