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Robust stability analysis in the *-norm and Lyapunov-Razumikhin functions for the stability analysis of time-delay systems
KTH, School of Electrical Engineering (EES), Communication Networks. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2011 (English)Conference paper, Published paper (Other academic)
Abstract [en]

Lyapunov-Krasovskii functionals have been shown to have connections with input-output techniques considering delay operators mapping L-2 to L-2. It is shown here that Lyapunov-Razumikhin functions can also be connected to the input-output framework by considering operators on L-infinity and the corresponding Small-Gain Theorem. Several important results from the Lyapunov-Razumikhin Theorem are retrieved and extended.

Place, publisher, year, edition, pages
NEW YORK: IEEE , 2011. 6319-6324 p.
Series
Proceedings of the IEEE Conference on Decision and Control
Keyword [en]
Time-delay systems, Lyapunov-Razumikhin Functions, Robust stability, *-norm
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-121646DOI: 10.1109/CDC.2011.6160236ISI: 000303506206153Scopus ID: 2-s2.0-84860669816OAI: oai:DiVA.org:kth-121646DiVA: diva2:627580
Conference
2011 50th IEEE Conference on Decision and Control and European Control Conference
Note

QC 20130612

Available from: 2013-06-12 Created: 2013-05-03 Last updated: 2013-06-12Bibliographically approved

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