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Robust stability analysis for feedback interconnections of unstable time-varying systems
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2011 (English)In: 2011 AMERICAN CONTROL CONFERENCE, 2011, 3734-3741 p.Conference paper (Refereed)
Abstract [en]

We consider the problem of robust stability analysis for feedback interconnections of causal linear systems that are potentially time-varying with unbounded gain over the space of finite-energy inputs. To this end, a combination of nu-gap metric and integral-quadratic-constraint based analysis is employed. The main results are developed in an abstract setting using generalized Wiener-Hopf and Hankel operators and the Fredholm index. Underlying assumptions are then verified for two important classes of system: multiplication by constantly proper Callier-Desoer transfer functions; and stabilizable and detectable finite-dimensional state-space systems with coefficients of bounded and continuous variation across time.

Place, publisher, year, edition, pages
2011. 3734-3741 p.
, Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
Feedback, robust stability, integral quadratic, constraints, nu-gap metric, time-varying linear systems
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-50340ISI: 000295376004092ScopusID: 2-s2.0-80053152323ISBN: 978-1-4577-0081-1OAI: diva2:480178
American Control Conference (ACC) JUN 29-JUL 01, 2011 San Fransisco, CA
QC 20120119Available from: 2012-01-19 Created: 2011-12-05 Last updated: 2012-01-20Bibliographically approved

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Jönsson, Ulf T.Cantoni, Michael
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