activity
20192024
most citedDictionary-free Koopman model predictive control with nonlinear input transformation

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.OC2024

Towards Optimal Spatio-Temporal Decomposition of Control-Related Sum-of-Squares Programs

Vít Cibulka, Milan Korda, Tomáš Haniš

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…

math.OC2022★ 2 cited

Dictionary-free Koopman model predictive control with nonlinear input transformation

Vít Cibulka, Milan Korda, Tomáš Haniš

This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary a…

math.OC2021

Model Predictive Control of a Vehicle using Koopman Operator

Vít Cibulka, Milan Korda, Tomáš Haniš +1

This paper continues in the work from arXiv:1903.06103 [math.OC] where a nonlinear vehicle model was approximated in a purely data-driven manner by a linear predictor of higher ord…

math.OC2021

Spatio-Temporal Decomposition of Sum-of-Squares Programs for the Region of Attraction and Reachability

Vít Cibulka, Milan Korda, Tomáš Haniš

This paper presents a method for calculating Region of Attraction of a target set (not necessarily an equilibrium) for controlled polynomial dynamical systems, using a hierarchy of…

math.OC2019

Data-driven identification of vehicle dynamics using Koopman operator

Vit Cibulka, Tomas Hanis, Martin Hromcik

This paper presents the results of identification of vehicle dynamics using the Koopman operator. The basic idea is to transform the state space of a nonlinear system (a car in our…