H-infinity-stability analysis of various classes of neutral systems with commensurate delays and with chains of poles approaching the imaginary axis - CentraleSupélec Access content directly
Conference Papers Year : 2015

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
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Catherine Bonnet

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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Dates and versions

hal-02307251 , version 1 (07-10-2019)

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  • HAL Id : hal-02307251 , version 1

Cite

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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