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Over one Century of Spectrum Analysis in Delay Systems: An Overview and New Trends in Pole Placement Methods

Abstract : Pole placement represents a classical method for controlling finite-dimensional linear timeinvariant systems, largely covered in the open literature. Basically, it consists of placing the poles of the closed-loop system in some predetermined loci in the complex plane. This paper discusses some of the extensions of this method to linear systems described by delay-differential equations. Among others, the finite spectrum assignment (FSA), the continuous pole placement (CPP) and the partial pole placement (PPP) approaches are presented and illustrated through some simple low-order dynamical systems.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03765146
Contributor : Amina BENARAB Connect in order to contact the contributor
Submitted on : Tuesday, August 30, 2022 - 10:32:50 PM
Last modification on : Tuesday, September 6, 2022 - 3:42:56 AM

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  • HAL Id : hal-03765146, version 1

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Amina Benarab, Islam Boussaada, Silviu-Iulian Niculescu, Karim Trabelsi. Over one Century of Spectrum Analysis in Delay Systems: An Overview and New Trends in Pole Placement Methods. TDS 2022 - 17th IFAC Workshop on Time Delay Systems, Sep 2022, Montreal, Canada. ⟨hal-03765146⟩

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