Hinfty-stability analysis of various classes of neutral time-delay systems with chains of poles approching the imaginary axis - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2015

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

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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Dates and versions

hal-01271842 , version 1 (09-02-2016)

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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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