Invariance Entropy for Control Systems
- For continuous time control systems, this paper introduces invariance entropy as a measure for the amount of information necessary to achieve invariance of weakly invariant compact subsets of the state space. Upper and lower bounds are derived, in particular, finiteness is proven. For linear control systems with compact control range, the invariance entropy is given by the sum of the real parts of the unstable eigenvalues of the uncontrolled system. A characterization via covers and corresponding feedbacks is provided.
| Author: | Fritz ColoniusORCiDGND, Christoph KawanGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-10388 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1210 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2008-35) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/12/09 |
| Tag: | nonlinear control; invariance; topological entropy; invariant covering |
| GND-Keyword: | Topologische Entropie; Nichtlineare Kontrolltheorie; Invarianz |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
