Uniform Semiglobal Asymptotic Stability for Time-varying Nonlinear Cascaded Systems

Authors:	Chaillet Antoine, Universite Paris Sud, France Loria Antonio, CNRS, France
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Stability I
Keywords:	Semiglobal Stability, Practical Stability, Nonlinear time-varying systems, cascaded systems

Abstract

In this paper we address the stability analysis problem for cascades of systems that are semiglobally uniformly asymptotically stable (USGPAS). That is, we establish that, under a uniform boundedness condition, the cascade of two USGPAS systems remains USGPAS. Our results generalize fundamental well known results for uniform global asymptotic stability for time-varying, and hence for autonomous, cascades.