%0 Book
%T Data-driven control of periodic orbits
%A Kruse, Niklas
%D 2026
%C Germany; Rostock
%C Universität Rostock
%G English
%F 1983612405
%O vorgelegt von Niklas Kruse
%O Enthält Zeitschriftenartikel
%O GutachterInnen: Jens Starke (Universität Rostock, Institut für Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)
%O Dissertation Universität Rostock 2026 Kumulative Dissertation
%X This work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.<eng>
%L 510
%9 theses
%9 Text
%9 Hochschulschrift
%R 10.18453/rosdok_id00005785
%U https://purl.uni-rostock.de/rosdok/id00005785
%U https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00005785-1
%U https://d-nb.info/1419469363/34
%U https://doi.org/10.18453/rosdok_id00005785