Upper and Lower Estimates for Invariance Entropy
- Invariance entropy measures the minimal information rate necessary to render a subset of the state space of a continuous-time control system invariant. In the present paper, we derive upper and lower bounds for the invariance entropy of control systems on smooth manifolds, using differential-geometric tools. As an example, we compute these bounds explicitly for projected bilinear control systems on the unit sphere.
| Author: | Christoph KawanGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-11159 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1327 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2009-30) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2009/11/04 |
| Tag: | Invarianz-Entropie; Bilineare Kontrollsysteme nonlinear control systems; invariance entropy; bilinear control systems |
| GND-Keyword: | Nichtlineare Regelung; Differentialgeometrie; Bilineares 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 |
