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.
| Author: | Christoph KawanGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-11680 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1419 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2010-10) |
| Type: | Preprint |
| Language: | English |
| 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 |
