B06 Kinetic theory meets algebraic systems theory

We study certain families of ODE control systems that are parametrized by their state space dimension N. Our goal is to consider the kinetic limit as N tends to infinity and to study if and how structural properties and invariant manifolds of the ordinary differential equation (ODE) systems carry over to the limiting partial differential equation (PDE). We will first investigate the autonomous case and then we will focus on closed loop control. Admissible feedback laws will be selected according to sparsity criteria. We plan to use and develop both numerical and symbolic software to tackle such problems.

Doctoral Researcher

Publications

  • N. Kolbe

    Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws

    Journal Article, Contribution to a conference proceedings pp. 1-6, 2023

    bibtex publications.rwth-aachen.de doi.org

  • B06
    M. Harms, C. Schilli, E. Zerz

    Invariant sets for a class of nonlinear control systems tractable by symbolic computation

    Journal Article, Contribution to a conference proceedings 2023

    bibtex publications.rwth-aachen.de doi.org

  • B06
    M. Harms, C. Schilli, E. Zerz

    Invariant sets for a class of nonlinear control systems tractable by symbolic computation

    Journal Article, Contribution to a conference proceedings 2023

    bibtex publications.rwth-aachen.de doi.org

  • E. Steins, T. Bui-Thanh, M. Herty, S. Müller

    Probabilistic constrained Bayesian inversion for transpiration cooling

    Journal Article International journal for numerical methods in fluids | Vol. 94, no. 12, 2022

    bibtex publications.rwth-aachen.de doi.org