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
3 IPSA - Institut Polytechnique des Sciences Avancées

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

Domains: Engineering Sciences [physics]; Automatic; Mathematics [math]; Dynamical Systems [math.DS]

Islam Boussaada, Silviu-Iulian Niculescu. On the Dominancy of Multiple Spectral Values for Time-delay Systems with Applications. 14th IFAC Workshop on Time Delay Systems TDS, The International Federation of Automatic Control, Jun 2018, Budapest, Hungary. pp.55-60, ⟨10.1016/j.ifacol.2018.07.198⟩. ⟨hal-01957523⟩