Stabilizability of Some Neutral Delay Systems with Chains of Poles Clustering on the Imaginary Axis

Catherine Bonnet 1, 2 Yutaka Yamamoto 3
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 : When dealing with phenomena such as transport, propagation or communication, it is a crucial issue to take delays into account to avoid bad performances. Neutral type delay systems are the most delicate to analyze as they may have chains of poles clustering the imaginary axis. We investigate here the Hinfinity-stabilizability of two particular neutral delay systems with a chain of poles clustering the imaginary axis: the first one having a chain of poles in the left-half plane and the second one having a chain of poles in the right-half plane. In both case, we show how to construct a coprime factorization over Hinfinity proving then they are both Hinfinity-stabilizable.
Type de document :
Communication dans un congrès
Mathematical Theory of Networks and Systems, Jul 2016, Minneapolis, United States. <https://sites.google.com/a/umn.edu/mtns-2016/>


https://hal.inria.fr/hal-01413303
Contributeur : Catherine Bonnet <>
Soumis le : vendredi 23 décembre 2016 - 16:08:58
Dernière modification le : vendredi 17 février 2017 - 16:10:34

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  • HAL Id : hal-01413303, version 1

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Catherine Bonnet, Yutaka Yamamoto. Stabilizability of Some Neutral Delay Systems with Chains of Poles Clustering on the Imaginary Axis. Mathematical Theory of Networks and Systems, Jul 2016, Minneapolis, United States. <https://sites.google.com/a/umn.edu/mtns-2016/>. <hal-01413303>

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