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H-infinity-STABILITY ANALYSIS OF FRACTIONAL DELAY SYSTEMS OF NEUTRAL TYPE

Le Ha Vy Nguyen Catherine Bonnet 1 Andre Ricardo Fioravanti 2
1 L2S - Laboratoire des signaux et systèmes
2 UNICAMP - Universidade Estadual de Campinas
Abstract : In this paper we consider linear fractional systems of commensurate orders and with commensurate delays, whose characteristic equation is a polynomial in the two variables s(alpha) (0 < a < 1) and e(-s tau) (tau > 0). These systems may have single or multiple chains of poles asymptotic to the imaginary axis. Location of poles of large modulus belonging to these chains are determined by approximation and simple necessary and sufficient H-infinity-stability conditions are derived.
Keywords : fractional systems neutral systems delay effects H-infinity-stability
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02307252
Contributor : Delphine Le Piolet <>
Submitted on : Monday, October 7, 2019 - 2:18:22 PM
Last modification on : Wednesday, April 8, 2020 - 3:17:36 PM

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

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Le Ha Vy Nguyen, Catherine Bonnet, Andre Ricardo Fioravanti. H-infinity-STABILITY ANALYSIS OF FRACTIONAL DELAY SYSTEMS OF NEUTRAL TYPE. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (2), pp.740-759. ⟨10.1137/14098123X⟩. ⟨hal-02307252⟩

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