Counting Characteristic Roots of Linear Delay-Differential Equations. Part I: Frequency-Sweeping Stability Tests and Applications
| Autor: | Silviu-Iulian Niculescu, Xu-Guang Li, Arben Çela |
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| Přispěvatelé: | Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), School of Information Science & Engineering, Northeastern University Shenyang, Northeastern University [Shenyang], ESIEE Paris |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | CONTROLLING DELAYED DYNAMICS: ADVANCES IN THEORY, METHODS AND APPLICATIONS CONTROLLING DELAYED DYNAMICS: ADVANCES IN THEORY, METHODS AND APPLICATIONS, 2022, ⟨10.1007/978-3-031-01129-0_5⟩ Controlling Delayed Dynamics ISBN: 9783031009815 |
| DOI: | 10.1007/978-3-031-01129-0_5⟩ |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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