HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system

Abstract : A question of ongoing interest for linear Time-delay systems is to determine conditions on the equation parameters that guarantee the exponential stability of solutions. In recent works a new interesting property of time-delay systems was emphasized. As a matter of fact, the multiple spectral values for time-delay systems was characterized by using a Birkhoff/Vandermonde-based approach. Then, a multiplicity induced stability criteria exhibited for reduced order systems; scalar delay-equations and a special class of second order systems. This work, further explores such a criteria and shows their applicability to the control of a mechanical system.
Complete list of metadata

Cited literature [31 references]  Display  Hide  Download

https://hal-centralesupelec.archives-ouvertes.fr/hal-01657659
Contributor : Islam Boussaada Connect in order to contact the contributor
Submitted on : Wednesday, January 10, 2018 - 9:01:21 AM
Last modification on : Wednesday, May 18, 2022 - 12:22:01 PM
Long-term archiving on: : Wednesday, May 23, 2018 - 5:48:42 PM

File

LAA-IB-ST-SIN-HU-TV-ILAS-2016....
Files produced by the author(s)

Identifiers

Citation

Islam Boussaada, Sami Tliba, Silviu-Iulian Niculescu, Hakki Ulaş Unal, Tomas Vyhlidal. Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system. Linear Algebra and its Applications, Elsevier, 2018, 542, pp.589-604. ⟨10.1016/j.laa.2017.11.022⟩. ⟨hal-01657659⟩

Share

Metrics

Record views

648

Files downloads

385