Local Stabilization of Nonlinear Systems through the Reduction Model Approach

Frédéric Mazenc 1 M. Malisoff 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
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.
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Frédéric Mazenc, M. Malisoff. Local Stabilization of Nonlinear Systems through the Reduction Model Approach. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2014, 59 (11), pp.3033-3039. ⟨10.1109/tac.2014.2317292 ⟩. ⟨hal-01098433⟩

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