Current projects:


  • $A_k$ slow-fast systems:


Past projects:


  • Mathematical and computational modelling of a synthetic cell:

Draft-v0.0


  • Stabilisation of slow-fast systems at non-hyperbolic points: the idea is to develop control tools to stabilise non-hyperbolic points of slow-fast systems. The classical theory of singular perturbations in the control systems context deals with two-timescale systems with normally hyperbolic critical manifold. However, such classical techniques do not hold in a neighbourhood of non-hyperbolic points. In this project we have shown that by using the blow up method, we can design controllers to stabilise non-hyperbolic points of slow-fast systems.

    Relevant publications:
    1. HJK and Jacquelien M.A. Scherpen, Stabilization of slow-fast systems: the non-hyperbolic case, submitted, 2017. arXiv
    2. HJK and Jacquelien M.A. Scherpen, Model order reduction and composite control for a class of slow-fast systems around a non-hyperbolic pointCDC56, The IEEE Control Systems Letters, 2017. Publisher
    3. HJK, Jacquelien M.A. Scherpen, and D. del Puerto-Flores, Stabilization of slow-fast systems at fold points, Submitted, 2017. arXiv
    4. HJK, Jacquelien M.A. Scherpen and D. del Puerto-Flores. Nonlinear adaptive stabilization of a planar slow-fast system at a non hyperbolic point, ACC 2017. Publisher
    5. HJK and Jacquelien M.A. Scherpen. Stabilization of a planar slow-fast system at a non hyperbolic point, MTNS 2016. URL