Title :
A Simplified Design for Strict Lyapunov Functions Under Matrosov Conditions
Author :
Mazenc, Frederic ; Malisoff, Michael ; Bernard, Olivier
Author_Institution :
MERE INRIA-INRA, UMR Analyse des Systmes et Biometrie, Montpellier
Abstract :
We construct strict Lyapunov functions for broad classes of nonlinear systems satisfying Matrosov type conditions. Our new constructions are simpler than the designs available in the literature. We illustrate the practical interest of our designs using a globally asymptotically stable biological model.
Keywords :
Lyapunov methods; asymptotic stability; biocontrol; control system synthesis; nonlinear control systems; Matrosov conditions; globally asymptotically stable biological model; nonlinear systems; strict Lyapunov functions; Actuators; Biological system modeling; Control system analysis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust stability; Steady-state; Uncertainty; Biological systems; Lyapunov function; Matrosov theorem;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2008353
