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Stability interval for time-varying delay systems
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2010 (English)Conference paper (Refereed)
Abstract [en]

We investigate the stability analysis of linear time-delay systems. The time-delay is assumed to be a time-varying continuous function belonging to an interval (possibly excluding zero) with a bound on its derivative. To this end, we propose to use the quadratic separation framework to assess the intervals on the delay that preserves the stability. Nevertheless, to take the time-varying nature of the delay into account, the quadratic separation principle has to be extended to cope with the general case of time-varying operators. The key idea lies in rewording the delay system as a feedback interconnection consisting of operators that characterize it. The original feature of this contribution is to design a set of additional auxiliary operators that enhance the system modelling and reduce the conservatism of the methodology. Then, separation conditions lead to linear matrix inequality conditions which can be efficiently solved with available semi-definite programming algorithms. The paper concludes with illustrative academic examples.

Place, publisher, year, edition, pages
IEEE , 2010. 1017-1022 p.
Keyword [en]
Delay, Delay systems, Linear matrix inequalities, Mathematical model, Stability criteria, Time varying systems
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-79955DOI: 10.1109/CDC.2010.5717071ISI: 000295049101044ScopusID: 2-s2.0-79953127634ISBN: 978-1-4244-7745-6OAI: diva2:495864
49th IEEE Conference on Decision and Control (CDC), 2010, Atlanta, GA, USA, 15-17 Dec. 2010

© 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. QC 20120213

Available from: 2012-02-13 Created: 2012-02-09 Last updated: 2012-09-05Bibliographically approved

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