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...

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Detalles Bibliográficos
Autores principales: Amster, P., Idels, L.
Formato: JOUR
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: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 todo:paper_08939659_v54_n_p1_Amster
record_format dspace
spelling todo:paper_08939659_v54_n_p1_Amster2023-10-03T15:41:53Z New applications of M-matrix methods to stability of high-order linear delayed equations Amster, P. Idels, L. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, P.
Idels, L.
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.
format JOUR
author Amster, P.
Idels, L.
author_facet Amster, P.
Idels, L.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_08939659_v54_n_p1_Amster
work_keys_str_mv AT amsterp newapplicationsofmmatrixmethodstostabilityofhighorderlineardelayedequations
AT idelsl newapplicationsofmmatrixmethodstostabilityofhighorderlineardelayedequations
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