Stability analysis for continuous-time three-dimensional systems with state saturation

Abstract

This paper concerns sufficient conditions of globally asymptotical stability at origin for three-dimensional continuous-time linear systems with state saturation. Through the judgment of the existence of equilibrium points distinct from the origin and the existence of steady orbital periodic solutions in the limited area, sufficient conditions for three-dimensional continuous-time linear systems with state saturation to be globally asymptotically stable are given.