Boundedness and convergence on fractional order systems

Javier A. Gallegos; Manuel A. Duarte-Mermoud

doi:10.1016/j.cam.2015.11.008

Boundedness and convergence on fractional order systems

Javier A. Gallegos
, Manuel A. Duarte-Mermoud

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

38 Citas (Scopus)

Resumen

We establish conditions to guarantee boundedness and convergence of signals described by non integer order equations using Caputo derivatives. The case of linear time-varying unforced equations is first studied, and later, results for linear time-varying forced equations and time-varying unforced non linear equations are presented and discussed.

Idioma original	Inglés
Páginas (desde-hasta)	815-826
Número de páginas	12
Publicación	Journal of Computational and Applied Mathematics
Volumen	296
DOI	https://doi.org/10.1016/j.cam.2015.11.008
Estado	Publicada - 1 abr. 2016
Publicado de forma externa	Sí

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title = "Boundedness and convergence on fractional order systems",

abstract = "We establish conditions to guarantee boundedness and convergence of signals described by non integer order equations using Caputo derivatives. The case of linear time-varying unforced equations is first studied, and later, results for linear time-varying forced equations and time-varying unforced non linear equations are presented and discussed.",

keywords = "Asymptotic convergence, Boundedness, Fractional order systems",

author = "Gallegos, \{Javier A.\} and Duarte-Mermoud, \{Manuel A.\}",

year = "2016",

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doi = "10.1016/j.cam.2015.11.008",

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journal = "Journal of Computational and Applied Mathematics",

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TY - JOUR

T1 - Boundedness and convergence on fractional order systems

AU - Gallegos, Javier A.

AU - Duarte-Mermoud, Manuel A.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - We establish conditions to guarantee boundedness and convergence of signals described by non integer order equations using Caputo derivatives. The case of linear time-varying unforced equations is first studied, and later, results for linear time-varying forced equations and time-varying unforced non linear equations are presented and discussed.

AB - We establish conditions to guarantee boundedness and convergence of signals described by non integer order equations using Caputo derivatives. The case of linear time-varying unforced equations is first studied, and later, results for linear time-varying forced equations and time-varying unforced non linear equations are presented and discussed.

KW - Asymptotic convergence

KW - Boundedness

KW - Fractional order systems

UR - https://www.scopus.com/pages/publications/84948143955

U2 - 10.1016/j.cam.2015.11.008

DO - 10.1016/j.cam.2015.11.008

M3 - Article

AN - SCOPUS:84948143955

SN - 0377-0427

VL - 296

SP - 815

EP - 826

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Boundedness and convergence on fractional order systems

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