Stabilization of Linear Time Varying Systems with Input Delays: Application to Rapidly Time Varying Systems.

Frederic Mazenc 1, 2 M. Malisoff 3 Silviu-Iulian Niculescu 2, 4
2 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
4 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : We study stabilization problems for a broad class of time varying linear systems that have constant input delays. Our reduction model method allows arbitrarily long delays, and it establishes input-to-state stability with respect to additive uncertainties. We apply our work to a large class of rapidly time varying systems, and we provide a lower bound on the admissible rapidness parameters. We illustrate our results using a pendulum model.
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Conference papers
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https://hal.inria.fr/hal-00906818
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, November 20, 2013 - 1:25:03 PM
Last modification on : Friday, August 2, 2019 - 11:46:02 AM

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Frederic Mazenc, M. Malisoff, Silviu-Iulian Niculescu. Stabilization of Linear Time Varying Systems with Input Delays: Application to Rapidly Time Varying Systems.. 52nd IEEE Conference on Decision and Control CDC 2013, Dec 2013, Florence, Italy. pp.1584-1589, ⟨10.1109/cdc.2013.6760108 ⟩. ⟨hal-00906818⟩

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