Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach

Fil: Gentile, Franco Sebastián. Universidad Nacional del Sur, Departamento de Matemática, Instituto de Investigaciones en Ingenieria Eléctrica (UNS-CONICET). Buenos Aires; Argentina.

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Autores principales: Gentile, Franco Sebastián, Itovich, Griselda Rut, Moiola, Jorge Luis
Lenguaje:Inglés
Publicado: American Institute of Mathematical Sciences 2023
Materias:
Ciencias Exactas y Naturales
Neutral delay-differential equations
Stability
Frequency domain method
Nyquist criterion
Acceso en línea:http://rid.unrn.edu.ar/handle/20.500.12049/10445
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2022147
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Repositorio Institucional Digital de la Universidad Nacional de Río Negro (UNRN) de Universidad Nacional de Río Negro
id I65-R171-20.500.12049-10445
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spelling I65-R171-20.500.12049-104452023-06-28T13:45:38Z application/pdf info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/4.0/ 2023-03 Fil: Gentile, Franco Sebastián. Universidad Nacional del Sur, Departamento de Matemática, Instituto de Investigaciones en Ingenieria Eléctrica (UNS-CONICET). Buenos Aires; Argentina. Fil: Itovich, Griselda Rut. Universidad Nacional de Río Negro, Escuela de Producción, Tecnología y Medio Ambiente. Río Negro; Argentina. Fil: Moiola, Jorge Luis. Universidad Nacional de Sur, Departamento de Ingeniería Eléctrica y de Computadoras, Instituto de Investigaciones en Ingenieria Eléctrica (UNS-CONICET). Buenos Aires; Argentina. Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach Gentile, Franco Sebastián Itovich, Griselda Rut Moiola, Jorge Luis Ciencias Exactas y Naturales Neutral delay-differential equations Stability Frequency domain method Nyquist criterion Ciencias Exactas y Naturales Two general schemes of neutral delay differential equations are considered. They represent non delayed systems with delayed, nonlinear feedback control. The stability conditions in terms of system parameters are derived using an approach based on feedback systems, namely, the Nyquist stability criterion. It is also shown that those results coincide with some already found in the literature, and others derived here, which are based on classical tools, that investigate directly the roots of characteristic equation. Finally, some examples are given to illustrate the usefulness of this approach. true Dos esquemas generales de ecuaciones diferenciales con retardo neutrales son considerados. Estos representan sistemas sin retardo con un control por realimentación con retardo. Las condiciones de estabilidad en términos de los parámetros del sistema se obtienen usando un enfoque basado en sistemas realimentados, a saber, el criterio de Nyquist. Se muestra también que estos resultados coinciden con algunos ya publicados y otros están basados en herramientas clásicas, que investigan las raíces de la ecuación característica. Finalmente, algunos ejemplos se dan para ilustrar la utilidad del enfoque. Franco S. Gentile, Griselda R. Itovich, Jorge L. Moiola. Stability analysis of some neutral delay-differential equations with a frequency-domain approach. Discrete and Continuous Dynamical Systems - B, 2023, 28(3): 1787-1805. doi: 10.3934/dcdsb.2022147 1531-3492 http://rid.unrn.edu.ar/handle/20.500.12049/10445 https://www.aimsciences.org/article/doi/10.3934/dcdsb.2022147 en https://www.aimsciences.org/dcds-b 28 (3) Discrete and Continuous Dynamical Systems - B American Institute of Mathematical Sciences
institution Universidad Nacional de Río Negro
institution_str I-65
repository_str R-171
collection Repositorio Institucional Digital de la Universidad Nacional de Río Negro (UNRN)
language Inglés
orig_language_str_mv en
topic Ciencias Exactas y Naturales
Neutral delay-differential equations
Stability
Frequency domain method
Nyquist criterion
Ciencias Exactas y Naturales
spellingShingle Ciencias Exactas y Naturales
Neutral delay-differential equations
Stability
Frequency domain method
Nyquist criterion
Ciencias Exactas y Naturales
Gentile, Franco Sebastián
Itovich, Griselda Rut
Moiola, Jorge Luis
Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
topic_facet Ciencias Exactas y Naturales
Neutral delay-differential equations
Stability
Frequency domain method
Nyquist criterion
Ciencias Exactas y Naturales
description Fil: Gentile, Franco Sebastián. Universidad Nacional del Sur, Departamento de Matemática, Instituto de Investigaciones en Ingenieria Eléctrica (UNS-CONICET). Buenos Aires; Argentina.
author Gentile, Franco Sebastián
Itovich, Griselda Rut
Moiola, Jorge Luis
author_facet Gentile, Franco Sebastián
Itovich, Griselda Rut
Moiola, Jorge Luis
author_sort Gentile, Franco Sebastián
title Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
title_short Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
title_full Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
title_fullStr Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
title_full_unstemmed Stability Analysis of Some neutral Delay-Differential Equations with a Frequency-Domain Approach
title_sort stability analysis of some neutral delay-differential equations with a frequency-domain approach
publisher American Institute of Mathematical Sciences
publishDate 2023
url http://rid.unrn.edu.ar/handle/20.500.12049/10445
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2022147
work_keys_str_mv AT gentilefrancosebastian stabilityanalysisofsomeneutraldelaydifferentialequationswithafrequencydomainapproach
AT itovichgriseldarut stabilityanalysisofsomeneutraldelaydifferentialequationswithafrequencydomainapproach
AT moiolajorgeluis stabilityanalysisofsomeneutraldelaydifferentialequationswithafrequencydomainapproach
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