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

Fazia Bedouhene; Islam Boussaada; Silviu-Iulian Niculescu

doi:10.1016/j.ifacol.2019.12.206

Conference papers

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

L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France

3 IPSA - Institut Polytechnique des Sciences Avancées

4 L2S - Laboratoire des signaux et systèmes

Abstract : 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.

Keywords : Time-delay systems Stability Spectral abscissa Control design Pole assignment Non oscillation

Document type :

Conference papers

Domain :

Computer Science [cs] / Automatic Control Engineering

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Submitted on : Tuesday, July 7, 2020 - 1:42:44 PM
Last modification on : Wednesday, September 16, 2020 - 5:37:31 PM

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