H-infinity-stability analysis of various classes of neutral systems with commensurate delays and with chains of poles approaching the imaginary axis

Le Ha Vy Nguyen Catherine Bonnet 1
1 L2S - Laboratoire des signaux et systèmes
Abstract : We analyze the H-infinity-stability of neutral systems with commensurate delays and multiple chains of poles asymptotic to a same set of points on the imaginary axis. First, by approximation, the location of poles of large modulus is determined. This analysis requires to consider several subclasses of systems where poles of high modulus exhibit various patterns. Second, we derive necessary and sufficient conditions for H-infinity-stability which are easy to check as expressed in terms of the degrees of the polynomials involved in the numerator and denominator of the transfer function.
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Conference papers
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02307251
Contributor : Delphine Le Piolet <>
Submitted on : Monday, October 7, 2019 - 2:18:20 PM
Last modification on : Thursday, October 10, 2019 - 1:16:44 AM

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  • HAL Id : hal-02307251, version 1

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CENTRALESUPELEC | SUP_LSS | SUP_SYSTEMES | CNRS | L2S | UNIV-PARIS-SACLAY

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Le Ha Vy Nguyen, Catherine Bonnet. H-infinity-stability analysis of various classes of neutral systems with commensurate delays and with chains of poles approaching the imaginary axis. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. ⟨hal-02307251⟩

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