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

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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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hal-03765146 , version 1 (30-08-2022)

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  • HAL Id : hal-03765146 , version 1

Cite

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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