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Communication Dans Un Congrès Année : 2023

On the Spectrum Distribution of Parametric Second-order Delay Differential Equations. Perspectives in Partial Pole Placement

Résumé

This chapter presents a parameter-based frequency-domain approach for the analysis and control of linear time-invariant dynamical systems described by delay-differential equations involving a single pointwise delay. More precisely, the link between the maximal allowable multiplicity of the characteristic roots and the spectral abscissa of the dynamical system is exploited to define appropriate stabilizing controllers. The ideas are explicitly illustrated on a class of second-order dynamical systems where a complete parametric characterization of the multiplicity-induced-dominancy is provided using certified algorithms from the computer algebra system Maple.
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Dates et versions

hal-04213259 , version 1 (21-09-2023)

Identifiants

Citer

Amina Benarab, Islam Boussaada, Silviu-Iulian Niculescu, Karim Trabelsi. On the Spectrum Distribution of Parametric Second-order Delay Differential Equations. Perspectives in Partial Pole Placement. CIP: Spring School on Control & Inverse Problems, May 2022, Monastir, Tunisia. ⟨10.1007/978-3-031-35675-9_4⟩. ⟨hal-04213259⟩
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