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
Descripción
Sumario: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.

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