Gap metrics for time-varying linear systems in a continuous-time setting
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4659643
- author
- Khong, Sei Zhen LU and Cantoni, Michael
- organization
- publishing date
- 2014
- 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
- 2016-04-01 10:53:12
- date last changed
- 2022-03-27 20:26:20
@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}}, keywords = {{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}}, doi = {{10.1016/j.sysconle.2014.06.003}}, volume = {{70}}, year = {{2014}}, }