GLOBAL ASYMPTOTIC STABILIZATION OF A CLASS OF CONSTANT FEEDBACK STABILIZABLE BILINEAR DYNAMICAL SYSTEMS WITH UNCERTAINTY

摘要

A class of uncertain homogeneous-in-the-state bilinear dynamical systems is considered in this paper. The uncertain systems are modelled as a nonlinear perturbations to a known homogeneous-in-the-state bilinear system, henceforth, referred to as the nominal system. The nominal system is assumed to be stabilizable by a constant feedback (see Bacciotti (1992)). A differential inclusion model is adopted to encompass all possible realizations of uncertainties and a class of discontinuous and continuous feedback controls is proposed to globally asymptotically stabilize such a class of uncertain systems.