Submitted/Under review


  1. Stabilization of a class slow-fast control systems at non-hyperbolic points
    HJK, Jacquelien M.A. Scherpen, and D. del Puerto-Flores
    Submitted, 2017.




Published


Journals.

CDCXX: The contents of this paper were also selected by CDC XX Program Committee for presentation at the Conference

  1. Improving the region of attraction of a non-hyperbolic point in slow-fast systems with one fast direction
    HJK and Jacquelien M.A. Scherpen
    to appear in The IEEE Control Systems Letters, 2018. Prepint

  2. Parameter-robustness analysis for a biochemical oscillator model describing the social-behavior transition phase of myxobacteria
    Hadi Tafgvafarad, HJK, and Ming Cao
    Proceedings of the Royal Society A, 2018. Publisher

  3. Model order reduction and composite control for a class of slow-fast systems around a non-hyperbolic pointCDC56
    HJK and Jacquelien M.A. Scherpen
    The IEEE Control Systems Letters, 2017. Prepint, Publisher

  4. Limit sets within curves where trajectories converge to
    Pouria Ramazi, HJK and Ming Cao
    Applied Mathematics Letters, 2017. Publisher

  5. Vibrational Stabilization by Reshaping Arnold Tongues: A Numerical Approach
    Joaquín Collado, HJK
    Applied Mathematics, 2016. Publisher

  6. Analysis of a slow fast system near a cusp singularity
    HJK, Henk W. Broer and R. Roussarie
    Journal of Differential Equations, 2016. arXiv Publisher

  7. Formal normal form of $A_k$ slow-fast systems
    HJK
    Comptes Rendus Mathematique, 2015, arXiv Publisher

  8. Bifurcations of a non-gravitational interaction problem
    X. Liu and HJK
    AMC, 2015, Publisher

  9. Polynomial normal forms of Constrained Differential Equations with three parameters
    HJK and Henk W. Broer
    Journal of Differential Equations, 2014, arXiv, Publisher.


International Conferences.


  1. Nonlinear adaptive stabilization of a planar slow-fast system at a non hyperbolic point
    HJK, Jacquelien M.A. Scherpen and D. del Puerto-Flores
    ACC 2017. Publisher

  2. Stabilization of a planar slow-fast system at a non hyperbolic point
    HJK and Jacquelien M.A. Scherpen
    MTNS 2016. URL

  3. Model order reduction of a flexible-joint robot: a port-Hamiltonian approach
    HJK, M. Munoz-Arias and Jacquelien M.A. Scherpen
    NOLCOS 2016. Publisher

National Conferences.


  1. Slow-fast port-Hamiltonian mechanical systems
    HJK, M. Munoz-Arias and Jacquelien M.A. Scherpen
    Benelux Meeting, 2017

  2. Analysis of a biochemical oscillator model describing the developmental stage of myxobacteria
    Hadi Taghvafard, HJK and Ming Cao
    Benelux Meeting, 2017

  3. Stabilization of planar slow-fast systems at non-hyperbolic points
    HJK and Jacquelien M.A. Scherpen
    Benelux Meeting, 2016.

  4. Control of a flexible-joint manipulator with only position measurements: a port-Hamiltonian approach
    HJK, M. Munoz-Arias and Jacquelien M.A. Scherpen
    Benelux Meeting, 2016

  5. Estabilización de Redes Complejas Fraccionarias de Sistemas de Lorenz y Sistemas de Chen
    R. Martínez-Martínez, HJK, J. A. León, and G. Fernández-Anaya
    AMCA, 2009.


Thesis.


  1. Classification of constrained differential equations embedded in the theory of slow fast systems
    HJK
    University of Groningen, 2015. URL


In progress/pre-prints


  • Distributed control for an under actuated non-standard singular perturbation problem
  • Feedback control of canards via geometric desingularization.
  • On a chaotic attractor in a slow-fast system.
  • A novel geometric regularization of Filippov systems. (with X. Liu, K. Efstathiou, and H. Broer)
  • Limit sets of trajectories converging to a compact manifold. (with P. Ramazi and M. Cao)
  • Geometric analysis of a Relaxation Oscillator Describing the Developmental Stage of Myxobacteria. (with H. Tafgvafarad, P. Szmolyan, and M. Cao)
  • On $A_k$ slow-fast systems.