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Stabilization of fractional neutral systems with one delay and a chain of poles asymptotic to the imaginary axis

Le Ha Vy Nguyen 1, 2 Catherine Bonnet 1, 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : In this paper we consider the stabilizability of fractional single delay systems of the neutral type which have a chain of poles clustering the imaginary axis. These systems are H∞-stabilizable, however we prove here that the subclass of H∞-stabilizing controllers which are given in terms of polynomials in the Laplace variable s, sv and e-ST (where v is a rational, v ϵ (0,1) and τ real positive is the value of the delay) cannot move the chain of poles far away from the imaginary axis in the left half-plane as they necessarily introduce stable chains of poles clustering the imaginary axis in the closed-loop. Some examples and simulations are given.
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https://hal.inria.fr/hal-01095878
Contributor : Le Ha Vy Nguyen <>
Submitted on : Tuesday, December 16, 2014 - 2:04:01 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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Le Ha Vy Nguyen, Catherine Bonnet. Stabilization of fractional neutral systems with one delay and a chain of poles asymptotic to the imaginary axis. ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014, Jun 2014, Catania, Italy. ⟨10.1109/icfda.2014.6967393⟩. ⟨hal-01095878⟩

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