Seminar Details
2006-01-19 (17.00 pm) : Colloque MAPA/CESAME - Nonlinearity and controllability
At Bât.de Hemptinne, Aud.Ch. de la Vallée Poussin (CYCL 01)
Organized by Mathematical Engineering
Speaker :
Jean-Michel Coron (Université de Paris-Sud)
Abstract :
For finite dimensional control systems, one knows many powerful sufficient conditions for local controllability of
a nonlinear control system.
This is not the case in infinite dimension, where, roughly speaking, the only known general result is that, if the linearized
control system at an equilibrium is controllable, then the nonlinear control system is locally controllable at the
equilibrium.
We present in this talk some new methods to get controllability results for some control systems modeled by partial
differential equations even if the linearized control system around the equilibrium is not controllable.