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Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties

Frédéric Mazenc 1 Michael Malisoff 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : The reduction model approach is useful for stabilizing linear systems with arbitrarily long input delays. Here we adapt the approach to time varying nonlinear systems whose nonlinear parts satisfy certain structural conditions. We use Lyapunov-Krasovskii functionals to prove local stability of the closed loop systems. We provide estimates of the basins of attraction, and cover uncertainties acting on the model.
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https://hal.inria.fr/hal-01088226
Contributor : Frederic Mazenc <>
Submitted on : Thursday, November 27, 2014 - 4:47:46 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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Frédéric Mazenc, Michael Malisoff. Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties. IEEE American Control Conference 2014, Jun 2014, Portland, United States. ⟨10.1109/acc.2014.6858591⟩. ⟨hal-01088226⟩

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