Artículo
Amster, P.; Idels, L. "New applications of M-matrix methods to stability of high-order linear delayed equations" (2016) Applied Mathematics Letters. 54:1-6
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | New applications of M-matrix methods to stability of high-order linear delayed equations |
| Autor: | Amster, P.; Idels, L. |
| Filiación: | Departamento de Matemática, FCEyN - Universidad de Buenos Aires and IMAS-CONICET, Ciudad Universitaria Pab. I, Buenos Aires, 1428, Argentina Department of Mathematics, Vancouver Island University, 900 Fifth St. NanaimoBC V9S5S5, Canada |
| Palabras clave: | 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 |
| Año: | 2016 |
| Volumen: | 54 |
| Página de inicio: | 1 |
| Página de fin: | 6 |
| DOI: | http://dx.doi.org/10.1016/j.aml.2015.10.008 |
| Título revista: | Applied Mathematics Letters |
| Título revista abreviado: | Appl Math Lett |
| ISSN: | 08939659 |
| CODEN: | AMLEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08939659_v54_n_p1_Amster |
Referencias:
- Padhi, S., Pati, S., (2014) Theory of Third-order Differential Equations, , Springer New Delhi
- Cahlon, B., Schmidt, D., Stability criteria for certain high even order delay differential equations (2007) J. Math. Anal. Appl., 334, pp. 859-875
- Cahlon, B., Schmidt, D., Stability criteria for certain high odd order delay differential equations (2007) J. Comput. Appl. Math., 200, pp. 408-423
- Berezansky, L., Braverman, E., Idels, L., Stability tests for second order linear and nonlinear delayed models (2015) Nonlinear Differ. Equ. Appl. NoDEA, 22, pp. 1523-1543
- Györi, I., Hartung, F., Fundamental solution and asymptotic stability of linear delay differential equations (2006) Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 13, pp. 261-287
- So, J.W.-H., Tang, X., Zou, X., Global attractivity for non-autonomous linear delay systems (2004) Funkcial. Ekvac., 47, pp. 25-40
- Berezansky, L., Braverman, E., Idels, L., New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks (2014) Appl. Math. Comput., 243, pp. 899-910
Citas:
---------- APA ----------
Amster, P. & Idels, L. (2016) . New applications of M-matrix methods to stability of high-order linear delayed equations. Applied Mathematics Letters, 54, 1-6.http://dx.doi.org/10.1016/j.aml.2015.10.008
---------- CHICAGO ----------
Amster, P., Idels, L. "New applications of M-matrix methods to stability of high-order linear delayed equations" . Applied Mathematics Letters 54 (2016) : 1-6.http://dx.doi.org/10.1016/j.aml.2015.10.008
---------- MLA ----------
Amster, P., Idels, L. "New applications of M-matrix methods to stability of high-order linear delayed equations" . Applied Mathematics Letters, vol. 54, 2016, pp. 1-6.http://dx.doi.org/10.1016/j.aml.2015.10.008
---------- VANCOUVER ----------
Amster, P., Idels, L. New applications of M-matrix methods to stability of high-order linear delayed equations. Appl Math Lett. 2016;54:1-6.http://dx.doi.org/10.1016/j.aml.2015.10.008
