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

Islam Boussaada; Silviu-Iulian Niculescu

doi:10.1016/j.ifacol.2018.07.198

Journal articles

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

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

3 IPSA - Institut Polytechnique des Sciences Avancées

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

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Automatic

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

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