Dynamical output feedback stabilization of a class of nonlinear systems

Investigates the problem of stabilization of some classes of nonlinear systems which are observable for any input. The authors discuss two situations : the case where the system is “complete” (that is for any Borelian bounded control, the associated system is complete) and the case where it is not so. In the case where the system is complete, the authors use a high gain observer and show that the linear separation principle can be generalized. In the second case, the authors give satisfactory results when the dimension of the state space and that of the output space are respectively 2n and n