Robust stability analysis in the *-norm and Lyapunov-Razumikhin functions for the stability analysis of time-delay systems
2011 (English)Conference paper (Other academic)
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.
, Proceedings of the IEEE Conference on Decision and Control
Time-delay systems, Lyapunov-Razumikhin Functions, Robust stability, *-norm
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-121646DOI: 10.1109/CDC.2011.6160236ISI: 000303506206153ScopusID: 2-s2.0-84860669816OAI: oai:DiVA.org:kth-121646DiVA: diva2:627580
2011 50th IEEE Conference on Decision and Control and European Control Conference
QC 201306122013-06-122013-05-032013-06-12Bibliographically approved