On pole Placement and spectral abscissa characterization for time-delay systems

Fazia Bedouhene (1) , Islam Boussaada (2, 3) , Silviu-Iulian Niculescu (4)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées [Tizi-Ouzou]
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
3 IPSA - Institut Polytechnique des Sciences Avancées
4 L2S - Laboratoire des signaux et systèmes

This paper presents a systematic frequency domain approach to analyse the stability of reduced-order linear systems with single delay. More precisely, we address the problem of the spectral abscissa characterization and the coexistence of non oscillating modes for such functional differential equations. The dominancy of such non oscillating modes is analytically shown for the considered reduced order Time-delay systems.

Mots clés: Stability; Spectral abscissa; Control design; Pole assignment; Non oscillation; Time-delay systems

Domaines: Automatique

Fazia Bedouhene, Islam Boussaada, Silviu-Iulian Niculescu. On pole Placement and spectral abscissa characterization for time-delay systems. SSSC 2019 - 7th Symposium on System Structure and Control, Islam Boussaada; Y Bouzidi; A Quadrat, Sep 2019, Sinaia, Romania. ⟨10.1016/j.ifacol.2019.12.206⟩. ⟨hal-02329054⟩