New applications of M-matrix methods to stability of high-order linear delayed equations

A substitution is introduced which exploits the parameters of the high-order delayed linear non-autonomous models and consequently allows the use of the M-matrix methods for the stability analysis. To demonstrate the efficacy of the proposed algorithm we obtain explicit and practical stability condi...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Amster, Pablo Gustavo
Publicado: 2016
Materias:
High-order delay differential equations
M-matrix method
Non-autonomous models
Stability
Convergence of numerical methods
Differential equations
Delayed equation
Delayed models
High order delays
M-matrices
New applications
Nonautonomous
Practical stability
Stability analysis
Matrix algebra
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v54_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_08939659_v54_n_p1_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_08939659_v54_n_p1_Amster
record_format dspace
spelling paper:paper_08939659_v54_n_p1_Amster2023-06-08T15:47:37Z New applications of M-matrix methods to stability of high-order linear delayed equations Amster, Pablo Gustavo High-order delay differential equations M-matrix method Non-autonomous models Stability Convergence of numerical methods Differential equations Stability Delayed equation Delayed models High order delays M-matrices New applications Nonautonomous Practical stability Stability analysis Matrix algebra A substitution is introduced which exploits the parameters of the high-order delayed linear non-autonomous models and consequently allows the use of the M-matrix methods for the stability analysis. To demonstrate the efficacy of the proposed algorithm we obtain explicit and practical stability conditions for the second and third order non-autonomous delayed models. © 2015 Elsevier Ltd. All rights reserved. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v54_n_p1_Amster http://hdl.handle.net/20.500.12110/paper_08939659_v54_n_p1_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic High-order delay differential equations
M-matrix method
Non-autonomous models
Stability
Convergence of numerical methods
Differential equations
Stability
Delayed equation
Delayed models
High order delays
M-matrices
New applications
Nonautonomous
Practical stability
Stability analysis
Matrix algebra
spellingShingle High-order delay differential equations
M-matrix method
Non-autonomous models
Stability
Convergence of numerical methods
Differential equations
Stability
Delayed equation
Delayed models
High order delays
M-matrices
New applications
Nonautonomous
Practical stability
Stability analysis
Matrix algebra
Amster, Pablo Gustavo
New applications of M-matrix methods to stability of high-order linear delayed equations
topic_facet High-order delay differential equations
M-matrix method
Non-autonomous models
Stability
Convergence of numerical methods
Differential equations
Stability
Delayed equation
Delayed models
High order delays
M-matrices
New applications
Nonautonomous
Practical stability
Stability analysis
Matrix algebra
description A substitution is introduced which exploits the parameters of the high-order delayed linear non-autonomous models and consequently allows the use of the M-matrix methods for the stability analysis. To demonstrate the efficacy of the proposed algorithm we obtain explicit and practical stability conditions for the second and third order non-autonomous delayed models. © 2015 Elsevier Ltd. All rights reserved.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
author_sort Amster, Pablo Gustavo
title New applications of M-matrix methods to stability of high-order linear delayed equations
title_short New applications of M-matrix methods to stability of high-order linear delayed equations
title_full New applications of M-matrix methods to stability of high-order linear delayed equations
title_fullStr New applications of M-matrix methods to stability of high-order linear delayed equations
title_full_unstemmed New applications of M-matrix methods to stability of high-order linear delayed equations
title_sort new applications of m-matrix methods to stability of high-order linear delayed equations
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v54_n_p1_Amster
http://hdl.handle.net/20.500.12110/paper_08939659_v54_n_p1_Amster
work_keys_str_mv AT amsterpablogustavo newapplicationsofmmatrixmethodstostabilityofhighorderlineardelayedequations
_version_ 1768544964125392896

Ejemplares similares