Some remarks on the regular splitting of quasi-polynomials with two delays. Characterization of double roots in degenerate cases
| Autor: | Silviu-Iulian Niculescu, Alejandro Martínez-González, César-Fernando Méndez-Barrios |
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| Přispěvatelé: | Aalto University, Facultad de Ingeniería (UASLP), Universidad Autonoma de San Luis Potosi [México] (UASLP), 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), Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), session invitée organisée par Islam BOUSSAADA, Rifat SIPAHI |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Algebraic properties
0209 industrial biotechnology Polynomial Pure mathematics 020208 electrical & electronic engineering Degenerate energy levels 02 engineering and technology Characterization (mathematics) [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation Control and Systems Engineering ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering Constant (mathematics) Mathematics |
| Zdroj: | IFAC 2020-21st IFAC World Congress IFAC 2020-21st IFAC World Congress, session invitée organisée par Islam BOUSSAADA, Rifat SIPAHI, Jul 2020, Berlin / Virtual, Germany. ⟨10.1016/j.ifacol.2020.12.363⟩ |
| DOI: | 10.1016/j.ifacol.2020.12.363⟩ |
| Popis: | International audience; This paper addresses the classification of multiple critical roots of dynamical continuous linear time-invariant systems including two constant delays in their mathematical representation. By considering the associated Weierstrass polynomial and its algebraic properties, we investigate the splitting behavior of such critical roots when the delays are subject to small variations. Some degenerate cases are also considered. The effectiveness of the proposed approach is illustrated through several numerical examples. |
| Databáze: | OpenAIRE |
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