@Book{1983612405,
author="Kruse, Niklas",
title="Data-driven control of periodic orbits",
year="2026",
address="Germany; Rostock",
abstract="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 Poincar{\'e} 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>",
school="Universit{\"a}t Rostock",
note="vorgelegt von Niklas Kruse",
note="Enth{\"a}lt Zeitschriftenartikel",
note="GutachterInnen: Jens Starke (Universit{\"a}t Rostock, Institut f{\"u}r Mathematik) ; Bernd Krauskopf (University of Auckland, Department of Mathematics) ; Constantinos Siettos (University of Naples Federico II, Department of Mathematics and Applications)",
note="Dissertation Universit{\"a}t Rostock 2026 Kumulative Dissertation",
doi="10.18453/rosdok_id00005785",
url="https://purl.uni-rostock.de/rosdok/id00005785",
url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00005785-1",
url="https://d-nb.info/1419469363/34",
url="https://doi.org/10.18453/rosdok_id00005785",
language="English"
}