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Path-connectedness of frequency-domain uncertainty sets in the graph topology
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2011 (English)In: IFAC Proceedings Volumes: (IFAC-PapersOnline), 2011, no PART 1, 3366-3371 p.Conference paper (Refereed)
Abstract [en]

Path-connectedness with respect to the topology induced by the ν-gap metric underpins a recent robustness result for uncertain feedback interconnections of transfer functions in the Callier-Desoer algebra; i.e. possibly distributed-parameter with only finitely many unstable poles. In this paper, we establish path-connectedness of the following uncertainty sets of such transfer functions: diagonally structured sets with path-connected entries; arbitrarily large H ∞- norm balls; and suficiently small ν-gap metric balls. Proof of the latter relies on the existence of a certain J-spectral factorisation, which is also established herein.

Place, publisher, year, edition, pages
2011. no PART 1, 3366-3371 p.
, IFAC Proceedings Volumes (IFAC-PapersOnline), ISSN 1474-6670 ; Vol. 18: Issue PART 1
Keyword [en]
ν-gap metric, Distributed-parameter uncertainty, Feedback, Path-connectedness, Distributed-parameter, Feedback interconnection, Frequency domains, Gap metrics, Graph topology, Transfer functions, Uncertainty analysis, Topology
National Category
URN: urn:nbn:se:kth:diva-149770DOI: 10.3182/20110828-6-IT-1002.00888ScopusID: 2-s2.0-84866764957ISBN: 9783902661937OAI: diva2:742997
18th IFAC World Congress; Milano, Italy, 28 August - 2 September, 2011

QC 20140903

Available from: 2014-09-03 Created: 2014-08-27 Last updated: 2014-10-03Bibliographically approved

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Jönsson, Ulf T.
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