Counting Characteristic Roots of Linear Delay-Differential Equations. Part I: Frequency-Sweeping Stability Tests and Applications - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2022

Counting Characteristic Roots of Linear Delay-Differential Equations. Part I: Frequency-Sweeping Stability Tests and Applications

Abstract

This chapter addresses the stability analysis of linear dynamical systems represented by delay differential equations with a focus on the effects induced by the delay, seen as a parameter, on the dynamical behavior. More precisely, we propose a frequencysweeping framework for treating the problem, and the stability problem is reformulated in terms of properties of frequency-sweeping curves. The presentation is teaching-oriented and focuses more on discussing the main ideas of the method and their illustration through appropriate examples and less on explicit proofs of the results. Some applications from Life Sciences complete the presentation.
Embargoed file
Embargoed file
0 1 13
Year Month Jours
Avant la publication
Sunday, April 7, 2024
Embargoed file
Sunday, April 7, 2024
Please log in to request access to the document

Dates and versions

hal-03634407 , version 1 (07-04-2022)

Identifiers

Cite

Silviu-Iulian Niculescu, Xu-Guang Li, Arben Cela. Counting Characteristic Roots of Linear Delay-Differential Equations. Part I: Frequency-Sweeping Stability Tests and Applications. CONTROLLING DELAYED DYNAMICS: ADVANCES IN THEORY, METHODS AND APPLICATIONS, 2022, ⟨10.1007/978-3-031-01129-0_5⟩. ⟨hal-03634407⟩
80 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More