Publications

Submitted

  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Alain Jacquemard, Pierre Martinon. A combination of algebraic, geometric and numerical methods in the contrast problem by saturation in magnetic resonance imaging. Submitted to SIAM J. Control Optim. [Preprint].
  • Mathieu Claeys, Jamal Daafouz, Didier Henrion. Modal occupation measures and LMI relaxations for nonlinear switched systems control. Submitted to Automatica. [Preprint]
  • Mathieu Claeys. Reconstructing trajectories from the moments of occupation measures. Submitted to CDC ’14. [Preprint].

 

Journals

  •  Sebastian Sager, Mathieu Claeys, Frédéric Messine. Efficient upper and lower bounds for global mixed-integer optimal control. J. Global Optimization (Accepted for publication). [Preprint].
  • Mathieu Claeys, Denis Arzelier, Didier Henrion, Jean-Bernard Lasserre. Measures and LMIs for Impulsive Nonlinear Optimal Control. IEEE Trans. Autom. Contr, May 2014.
  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon. Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. Acta Applicandae Mathematicae (Accepted for Publication). [Preprint]

 

Conferences

  • Mathieu Claeys,  Didier Henrion, Matin Kruzik. Semidefinite relaxations for optimal control problems with oscillation and concentration effects. MTNS ’14 (Extended abstract). [Preprint].
  • Mathieu Claeys, Denis Arzelier, Didier Henrion, Jean-Bernard Lasserre. Moment LMI approach to LTV impulsive control. IEEE Conf. Decision. Contr. ’13, Florence, Italy. [Preprint].
  • Bernard Bonnard, Mathieu Claeys, Olivier Cots, Pierre Martinon.
    Comparison of numerical methods in the contrast imaging problem in NMR. IEEE Conf. Decision. Contr. ’13, Florence, Italy. [Preprint].
  • Didier Henrion, Jamal Daafouz, Mathieu Claeys. Optimal switching control design for polynomial systems: an LMI approach. IEEE Conf. Decision. Contr. ’13, Florence, Italy. [Preprint].
  • Mathieu Claeys, Denis Arzelier, Didier Henrion, Jean-Bernard Lasserre. Measures and LMI for impulsive optimal control with applications to space rendezvous problems. IEEE Conf. Decision. Contr. ’13, Florence, Italy. [Preprint].

 

Thesis

  • Mathieu Claeys (Supervisors: Didier Henrion, Jean-Bernard Lasserre). Mesures d’occupation et relaxations semi-définies pour la commande optimale (Occupation measures and semidefinite relaxations for optimal control). Université de Toulouse, 2013. [Manuscript].