Control systems with almost periodic excitations
- For control systems described by ordinary differential equations subject to almost periodic excitations the controllability properties depend on the specific excitation. Here these properties and, in particular, control sets and chain control sets are discussed for all excitations in the closure of all time shifts of a given almost periodic function. Then relations between heteroclinic orbits of an uncontrolled and unperturbed system and controllability for small control ranges and small perturbations are studied using Melnikov's method. Finally, a system with two-well potential is studied in detail.
| Author: | Fritz ColoniusORCiDGND, Tobias Wichtrey |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-4970 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/627 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2008-07) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2008/02/07 |
| Tag: | nonautonomous control systems; almost periodicity; control sets; Melnikov method |
| GND-Keyword: | Nichtautonomes System; Kontrollsystem; Fastperiodizität |
| 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 |
