Controllability and stabilization of nonlinear control systems
Jean-Michel Coron
Laboratoire Jacques-Louis Lions
Université Pierre et Marie Curie
4, place Jussieu
75005 Paris
France
Abstract: We present methods to study the controllability and the stabilizability of nonlinear control systems. The emphasis is put on specific phenomena due to the nonlinearities. In particular we study cases where the nonlinearities are essential for the controllability or the stabilizability. We illustrate these methods on specific control systems modeled by ordinary differential equations (mainly mechanical and quantum control systems) or partial differential equations (Euler and Navier-Stokes equations of incompressible fluids, Korteweg de Vries equations, Burgers equations, Schrödinger equations).
More information: See Jean-Michel Coron's web page and his book "Control and Nonlinearity".