4 papers · 1 filter
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…
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…
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…
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…