On the Dominancy of Multiple Spectral Values for Time-delay Systems with Applications

Islam Boussaada; Silviu-Iulian Niculescu

On the Dominancy of Multiple Spectral Values for Time-delay Systems with Applications

Islam Boussaada ^{1, 2, 3} Silviu-Iulian Niculescu ^{4, 2}

1 L2S - Laboratoire des signaux et systèmes

2 DISCO - Dynamical Interconnected Systems in COmplex Environments

L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506

3 IPSA - Institut Polytechnique des Sciences Avancées

4 Division Systèmes - L2S

L2S - Laboratoire des signaux et systèmes : 1289

Abstract : A further extension of a result on maximal multiplicity induced-dominancy for spectral values is analytically derived for generic retarded second-order systems with a single delay in the parameter space. Several examples illustrate the applicative perspectives of the result, towards a rightmost spectral value assignment approach.

Keywords : Time-delay systems stability analysis spectral abscissa rightmost spectral values

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Automatic

Mathematics [math] / Dynamical Systems [math.DS]

Complete list of metadatas

https://hal-centralesupelec.archives-ouvertes.fr/hal-01957523
Contributor : Islam Boussaada <>
Submitted on : Monday, December 17, 2018 - 1:55:39 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
Long-term archiving on : Monday, March 18, 2019 - 2:54:28 PM

IB-SIN-TDS-2018.pdf

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