My research deals with mathematical control theory and its applications to microfluidics and micro-swimming.
I study the motion of swimming micro-organisms through modelling, controllability analysis and numerical simulations. I use the tools of control theory on various models to better understand, predict or influence related phenomena.
Magnetic micro-robots and local controllability
I have worked on a model of magnetized elastic micro-swimmer, controlled by an external magnetic field, and studied its controllability properties around equilibria. In a more general framework, I am interested in local controllability conditions for control-affine systems.
I take interest in the subject of state-constrained controllability of PDE systems. In particular, I am investigating nonnegative state controllability of linear and semilinear coupled parabolic systems.
Controllability in finite and infinite dimension and applications to life-inspired nonlinear systems
- Laetitia Giraldi, Chargée de recherche (junior researcher) at Inria Sophia
- Pierre Lissy, Maître de Conférences (assistant professor) at Université Paris-Dauphine
- Jean-Baptiste Pomet, Directeur de recherche (senior researcher) at Inria Sophia