A result on the stabilization of nonlinear systems using state detection Original Research Article

In this paper, we propose a new result on the feedback stabilization of nonlinear systems using state detection. We consider systems which are at least weakly detectable and stabilizable by means of a feedback control u = k(x), that may or not be continuous. Using the concept of inputto-state stability, we show that the system is also stabilizable by u = k(z), provided z is the output of a weak detector for x.