Time-Varying simultaneous stabilization, Part II. Finite families of nonlinear systems

Abstract

In this paper, we derive sufficient conditions for the existence of a continuous time-varying feedback law that simultaneously locally or globally asymptotically stabilizes a finite family of nonlinear systems. We then focus on a class of pairs of nonlinear homogeneous systems, and by using the previous sufficient conditions, we establish their asymptotic stabilizability by means of time-varying feedback.