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.

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Metadaten
Author:Fritz ColoniusORCiDGND, Tobias Wichtrey
URN:urn:nbn:de:bvb:384-opus4-4970
Frontdoor URLhttps://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