My research deals with mathematical control theory and optimization, and various applications to physics and biology, especially within the micro-swimming field -- the motion of micro-organisms and micro-robots in a fluid.
I am interested in local controllability conditions for nonlinear control-affine systems in finite dimension, which usually involves to look at underlying Lie algebra structures. For both finite and infinite dimensional systems, I also take interest in the subject of state-constrained controllability. In particular, I have investigated nonnegative state controllability of linear and semilinear coupled parabolic systems.
Micro-swimming and control
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. In particular, I have worked on models of magnetically controlled elastic robots, and on control of particles with external fluid interactions.
Modelling and optimisation for fluid dynamics
In am broadly interested in fluid mechanics at low Reynolds number and fluid-structure interactions. I use various mathematical tools -- shape optimisation, multiscale analysis, etc. to investigate questions related to fluid dynamics, mostly at Stokes regime, with applications to micro-swimming, biofluids and robotics.
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