Lyapunov analysis of non homogeneous Super-Twisting algorithms

Abstract

In this paper strict Lyapunov functions for Super-Twisting algorithms that are non homogeneous are proposed. Two basic forms of non homogeneous Algorithms will be studied. Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases.