Title :
Uniform stability analysis for time-varying systems applying homogeneity
Author :
Rios, H. ; Efimov, D. ; Fridman, L. ; Moreno, J. ; Perruquetti, W.
Author_Institution :
Non-A team @ Inria, Villeneuve d´Ascq, France
Abstract :
The uniform stability notion for a class of nonlinear time-varying systems is studied using the homogeneity framework. It is assumed that the system is weighted homogeneous considering the time variable as a constant parameter, then several conditions of uniform stability for such a class of systems are formulated. The results are applied to the problem of adaptive estimation for a linear system.
Keywords :
adaptive estimation; linear systems; nonlinear systems; stability; time-varying systems; adaptive estimation; homogeneity framework; linear system; nonlinear time-varying systems; time variable; uniform stability analysis; weighted homogeneous system; Asymptotic stability; Control systems; Convergence; Observers; Stability analysis; Time-varying systems; Vectors;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039994
