TY  - BOOK
AU  - Kruse, Niklas
PY  - 2026
DA  - 2026//
TI  - Data-driven control of periodic orbits
PB  - Universität Rostock
CY  - Germany; Rostock
AB  - 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>
UR  - https://purl.uni-rostock.de/rosdok/id00005785
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00005785-1
UR  - https://d-nb.info/1419469363/34
UR  - https://doi.org/10.18453/rosdok_id00005785
DO  - 10.18453/rosdok_id00005785
LA  - English
N1  - vorgelegt von Niklas Kruse
ID  - 1983612405
ER  -