Extended Invariance Principle and Other Analysis Tools for Variable Structure Systems

Abstract

Analysis and synthesis of Variable Structure Systems (VSS’) have attracted considerable research interest in the last decades. Although the existing literature on this subject includes numerous monographs and papers such as [2, 6, 9, 13, 15, 20, 30, 32], to name a few, these systems are far from being fully understood. In the present chapter, analysis tools for VSS’ are developed within the framework of methods of non-smooth Lyapunov functions with non-positive time derivatives along the system trajectories.