ON SOME STABILITY REGIONS OF A MULTIPLE DELAYS LINEAR SYSTEM WITH APPLICATIONS
S.-I. Niculescu*
* HEUDIASYC (UMR CNRS 6599), Université de Technologie de Compiègne, Centre de Recherche de Royallieu, BP. 20529, 60205, Compiègne, France. E-mail: silviu@hds.utc.fr
This paper focuses on the asymptotic stability of a class of linear systems including multiple (commensurate, uncommensurate) pointwise delays. More precisely, we shall characterize some stability, instability regions in the delays parameter-space using a frequency-domain approach. As potential applications, we shall discuss the robustness analysis in terms of delays of a fluid network approximation (see, for instance, the models proposed by Izmailov, 1995, 1996).
Keywords: commensurate/uncommensurate delays, switch, reversal, oscillations
Session slot T-Fr-A18: Time delay systems/Area code 2b : Linear Systems

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