Lower bounds for the strict invariance entropy

  • In this paper, we present a new method for obtaining lower bounds of the strict invariance entropy by combining an approach from the theory of escape rates and geometric methods used in the dimension theory of dynamical systems. For uniformly expanding systems and for inhomogeneous bilinear systems we can describe the lower bounds in terms of certain uniform volume growth rates. In particular, we obtain criteria for positive entropy.

Download full text files

Export metadata


Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Author:Christoph KawanGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/1419
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2010-10)
Publishing Institution:Universität Augsburg
Release Date:2010/07/30
Tag:Invarianz-Entropie; Nichtlineare Kontrolltheorie
invariance entropy; nonlinear control theory
GND-Keyword:Nichtlineare Regelung; Bilineares System; Dynamisches System
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht