Title	Entropy for control problems and random escape rates
Creator	Kawan, Christoph
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-01-22
Description	This talk is about the control-theoretic problem to determine the smallest rate of information in a feedback loop above which a control system can solve a given control task. Such minimal data rates can be described by quantities that resemble topological entropy. For the control problem to render a given subset of the state space invariant, the associated entropy is related to escape rates of random dynamical systems which arise by putting shift-invariant measures on the space of admissible control functions. Here the multiplicative ergodic theorem comes into play, which allows to estimate the escape rates in terms of Lyapunov exponents.
Extent	45 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: New York University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2015-07-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0044852
URI	http://hdl.handle.net/2429/54143
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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