Koopman Operator Theory in Systems and Control

18, 19 & 20 augustus 2021
+ 1,2 & 3 september 2021

SOCN, Graduate School in Systems, Optimization, Control and Networks

Discover the state of the art in Koopman operator theory. The basic concepts will be reviewed by Alexandre Mauroy (University of Namur). Following, Igor Mezic (University of California) will focus on numerical (data-driven) methods that allow to obtain finite-dimensional approximations of the operator. The course finishes with recent developments.

Classical approach to dynamical systems relies on the pointwise description of a set of trajectories in the state space. In contrast, an alternative global description of nonlinear dynamical systems is provided by operator-theoretic methods. The so-called Koopman operator describes the evolution of “observables-functions” of the state space and turns a nonlinear system into a linear (but infinite-dimensional) system. This approach enables the use of spectral analysis for studying nonlinear systems, a method which mirrors the classical spectral approach to linear systems. More generally, the 

approach yields systematic and efficient linear techniques to solve nonlinear problems. Recent years have also witnessed increasing interest to the Koopman operator framework, in particular in the context of nonlinear control theory (e.g. stability analysis, observability, controllability, optimal control, model predictive control, and identification, to list a few).

The course will provide a broad overview of the current state-of-the-art in Koopman operator theory. In the first part, basic concepts will be reviewed in the context of dynamical systems theory. The second part will focus on numerical (data-driven) methods that allow to obtain finite-dimensional approximations of the operator. Recent developments of the Koopman operator approach in the context of control theory will be presented in the third part of the course.

Course material

The Koopman Operator Theory in Systems and Control: Concepts, Methodologies, and Applications. Eds.: A. Mauroy, I. Mezic, and Y. Susuki. Lectures Notes in Control and Information Sciences, Springer, 2020.

Praktisch

  • Igor Mezic
    • 18, 19 & 20 augustus 2021
    • 9.30-12.15
  • Alexandre Mauroy
    • 1, 2 & 3 september 2021
    • 9.30-12.15u
  • Locatie: University of Namur
    Building 63 (room BN01), Rempart de la vierge, 5000 Namur
  • Taal: Engels
  • Doelgroep: studenten en onderzoekers

Inschrijven?

  • Inschrijvingsperiode: voor 12 augustus 2021
  • Prijs: €500
    (medewerkers van academische instellingen: €50 en van partnerinstellingen: €0)

Klaar om te starten?

Alle praktische info vind je op de opleidingspagina van SOCN