Generating positive and stable solutions through delayed state feedback

Authors:
Frédéric Mazenc;Silviu-Iulian Niculescu
Affiliations:
Projet INRIA DISCO, CNRS SUPELEC, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France;Laboratoire des Signaux et Systèmes (L2S), UMR CNRS 8506, CNRS SUPELEC Univ Paris Sud, 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 3
Cited 3

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Brief paper: Further results on input-to-state stability for nonlinear systems with delayed feedbacks

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A characterization of the Hurwitz stability of Metzler matrices

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Lyapunov-Krasovskii functionals and application to input delay compensation for linear time-invariant systems

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Backstepping for Nonlinear Systems with Delay in the Input Revisited

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Robustness of nonlinear predictor feedback laws to time- and state-dependent delay perturbations

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Abstract

For time-varying forward-complete nonlinear systems with delay in the input, a new reduction model approach is proposed. It presents three advantages. First, the corresponding control laws do not include distributed terms. Second, it yields closed-loop systems with positive solutions that can be easily derived. Finally, the stabilized systems possess some robustness properties that can be estimated.