Local Stabilization of Nonlinear Systems through the Reduction Model Approach

Frédéric Mazenc (1) , Michael Malisoff (2)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 Department of Mathematics

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.

Domaines: Automatique

Frédéric Mazenc, Michael Malisoff. Local Stabilization of Nonlinear Systems through the Reduction Model Approach. IEEE Transactions on Automatic Control, 2014, 59 (11), pp.3033-3039. ⟨10.1109/tac.2014.2317292⟩. ⟨hal-01098433⟩