no code implementations • 12 May 2024 • Petar Bevanda, Bas Driessen, Lucian Cristian Iacob, Roland Toth, Stefan Sosnowski, Sandra Hirche
Linearity of Koopman operators and simplicity of their estimators coupled with model-reduction capabilities has lead to their great popularity in applications for learning dynamical systems.
no code implementations • 16 Jan 2023 • Lucian Cristian Iacob, Maarten Schoukens, Roland Tóth
The Koopman framework is a popular approach to transform a finite dimensional nonlinear system into an infinite dimensional, but linear model through a lifting process, using so-called observable functions.
no code implementations • 25 Jul 2022 • Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens
In applications for systems with inputs, generally a linear time invariant (LTI) form of the Koopman model is assumed, as it facilitates the use of control techniques such as linear quadratic regulation and model predictive control.
no code implementations • 15 Jun 2022 • Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens
In the lifted space, the dynamics are linear and represented by a so-called Koopman operator.
no code implementations • 6 Oct 2021 • Lucian Cristian Iacob, Gerben Izaak Beintema, Maarten Schoukens, Roland Tóth
The present paper treats the identification of nonlinear dynamical systems using Koopman-based deep state-space encoders.