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Journal Articles IEEE Transactions on Automatic Control Year : 2014

Local Stabilization of Nonlinear Systems through the Reduction Model Approach

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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Dates and versions

hal-01098433 , version 1 (14-01-2015)

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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⟩
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