Hinfty-stability analysis of various classes of neutral time-delay systems with chains of poles approching the imaginary axis

Le Ha Vy Nguyen 1 Catherine Bonnet 2, 1
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 : We analyze the H∞-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∞-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.inria.fr/hal-01271842
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Submitted on : Tuesday, February 9, 2016 - 4:48:26 PM
Last modification on : Thursday, April 26, 2018 - 3:53:09 PM

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Le Ha Vy Nguyen, Catherine Bonnet. Hinfty-stability analysis of various classes of neutral time-delay systems with chains of poles approching the imaginary axis. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. ⟨10.1109/cdc.2015.7403230 ⟩. ⟨hal-01271842⟩

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