Title :
Lyapunov Function Constructions for Slowly Time-Varying Systems
Author :
Mazenc, Frédéric ; Malisoff, Michael
Author_Institution :
Project MERE INRIA-INRA, UMR Analyse des Systemes et Biometrie INRA, Montpellier
Abstract :
We provide general methods for explicitly constructing strict Lyapunov functions for general nonlinear slowly time-varying non-autonomous systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics. We also explicitly construct input-to-state stable Lyapunov functions for slowly time-varying control systems. We illustrate our findings using a perturbed friction model with slowly time-varying coefficients
Keywords :
Lyapunov methods; nonlinear control systems; stability; time-varying systems; Lyapunov function construction; general nonlinear systems; input-to-state stability; slowly time-varying systems; stability analysis; strict Lyapunov function; time-varying nonautonomous systems; Control engineering; Control systems; Feedback control; Friction; Lyapunov method; Nonlinear control systems; Robust control; Stability analysis; Time varying systems; USA Councils; Lyapunov function constructions; input-to-state stability; slowly time-varying systems; stability analysis;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377292
