Geometric vs. algebraic approach: A study of double imaginary characteristic roots in time-delay systems

Abstract : This paper studies double imaginary characteristic roots in the case of time-delay systems with two delays as parameters. We aim to identify the direction in which double roots cross the imaginary axis, when the delay parameters change. To determine what happens when parameters are under a small perturbation, we present two methods: the algebraic and geometric approaches. Taking a theoretical example, we show that, even if the two methods are conceptually different, the provided results are consistent.
Document type :
Conference papers
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01815469
Contributor : Dina Irofti <>
Submitted on : Thursday, June 14, 2018 - 10:40:17 AM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
Long-term archiving on : Saturday, September 15, 2018 - 1:11:41 PM

File

ifacconf.pdf
Files produced by the author(s)

Identifiers

Citation

Dina Irofti, Islam Boussaada, Silviu-Iulian Niculescu. Geometric vs. algebraic approach: A study of double imaginary characteristic roots in time-delay systems. IFAC 2017 - 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. pp.1310 - 1315, ⟨10.1016/j.ifacol.2017.08.123⟩. ⟨hal-01815469⟩

Share

Metrics

Record views

124

Files downloads

65