Multiplicity-induced-dominancy for delay systems: Comprehensive examples in the scalar neutral case

This article focuses on the characterization of a particular spectral property called Multiplicity-induced-dominancy applying for linear dynamical systems described by delay-differential equations. More precisely, we characterize the property in the scalar neutral case with respect to the system par...

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Bibliographic Details
Published in:European journal of control 2023-11, Vol.74, p.100835, Article 100835
Main Authors: Benarab, Amina, Boussaada, Islam, Niculescu, Silviu-Iulian, Trabelsi, Karim L.
Format: Article
Language:English
Subjects:
Control theory
Engineering Sciences
Functional differential equations
Mathematics
Neutral equations
Partial pole placement
Stability theory
Stabilization of dynamical systems
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Summary:This article focuses on the characterization of a particular spectral property called Multiplicity-induced-dominancy applying for linear dynamical systems described by delay-differential equations. More precisely, we characterize the property in the scalar neutral case with respect to the system parameters. Particular attention is paid to the so-called over-order multiplicities corresponding to real double and triple characteristic roots.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2023.100835