Title	Input to state stability of evolution equations
Creator	Jacob, Birgit
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-20T09:02
Description	In this talk we study the notions of input to state stability (ISS) and integral input to state stability (iISS) for boundary control systems, which are stronger notions than exponential stability of the corresponding semigroup and include stability with respect to input functions as well. It will be shown that if the semigroup is exponentially stable, then ISS is equivalent to admissibility of the input operator with respect to $L^\infty$ . Further, under the assumption of exponential stability iISS is just admissibility of the input operator with respect to an Orlicz space. Further, we prove that for parabolic systems ISS and iISS are equivalent notions.
Extent	53 minutes
Subject	Mathematics; Partial differential equations; Systems theory; control; Control/optimization/operation research
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Wuppertal
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363052
URI	http://hdl.handle.net/2429/64380
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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