3 papers
math.OC2025
Set-Valued Koopman Theory for Control Systems
Benoît Bonnet-Weill, Milan Korda
In this paper, we introduce a new notion of Koopman operator which faithfully encodes the dynamics of controlled systems by leveraging the tools of set-valued analysis. In this con…
math.OC2024
Learning Parametric Koopman Decompositions for Prediction and Control
Yue Guo, Milan Korda, Ioannis G. Kevrekidis +1
We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously construc…
math.OC2024
Towards Optimal Spatio-Temporal Decomposition of Control-Related Sum-of-Squares Programs
VÃt Cibulka, Milan Korda, Tomáš HaniÅ¡
This paper presents a method for calculating the Region of Attraction (ROA) of nonlinear dynamical systems, both with and without control. The ROA is determined by solving a hierar…