55 citations · 77 across the 5 of their papers we have counts for
6 papers
Exact Finite Koopman Embedding of Block-Oriented Polynomial Systems
Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens
The challenge of finding exact and finite-dimensional Koopman embeddings of nonlinear systems has been largely circumvented by employing data-driven techniques to learn models of d…
Nonparametric Control Koopman Operators
Petar Bevanda, Bas Driessen, Lucian Cristian Iacob +3
This paper presents a novel Koopman composition operator representation framework for control systems in reproducing kernel Hilbert spaces (RKHSs) that is free of explicit dictiona…
Finite Dimensional Koopman Form of Polynomial Nonlinear Systems
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-ca…
Koopman Form of Nonlinear Systems with Inputs
Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens
The Koopman framework proposes a linear representation of finite-dimensional nonlinear systems through a generally infinite-dimensional globally linear embedding. Originally, the K…
Optimal Synthesis of LTI Koopman Models for Nonlinear Systems with Inputs
Lucian Cristian Iacob, Roland Tóth, Maarten Schoukens
A popular technique used to obtain linear representations of nonlinear systems is the so-called Koopman approach, where the nonlinear dynamics are lifted to a (possibly infinite di…
Deep Identification of Nonlinear Systems in Koopman Form
Lucian Cristian Iacob, Gerben Izaak Beintema, Maarten Schoukens +1
The present paper treats the identification of nonlinear dynamical systems using Koopman-based deep state-space encoders. Through this method, the usual drawback of needing to choo…