Title :
Local Stabilization of Nonlinear Systems Through the Reduction Model Approach
Author :
Mazenc, F. ; Malisoff, Michael
Author_Institution :
EPI DISCO INRIA-Saclay, Supelec, Gif-sur-Yvette, France
Abstract :
We study a general class of nonlinear systems with input delays of arbitrary size. We adapt the reduction model approach to prove local asymptotic stability of the closed loop input delayed systems, using feedbacks that may be nonlinear. Our Lyapunov-Krasovskii functionals make it possible to determine estimates of the basins of attraction for the closed loop systems.
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; delays; feedback; nonlinear systems; Lyapunov-Krasovskii functionals; closed loop input delayed systems; feedbacks; input delays; local asymptotic stability; local stabilization; nonlinear systems; reduction model approach; Adaptation models; Asymptotic stability; Closed loop systems; Delays; Nonlinear systems; Time-varying systems; Trajectory; Delay; nonlinear; reduction model; stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2317292
