Global Stabilization of a Class of Bilinear Systems in $${\mathbb{R}^3}$$ R 3

Abstract

In this paper, we consider a class of bilinear systems in dimension three which can be an extension of another one in $${\mathbbm{R}^{2}}$$ . We prove that there exists some homogeneous feedback of degree zero stabilizing the considered class if and only if these feedbacks are constants.