On the Lyapunov theory for fractional order systems

Javier A. Gallegos; Manuel A. Duarte-Mermoud

doi:10.1016/j.amc.2016.04.039

On the Lyapunov theory for fractional order systems

Javier A. Gallegos
, Manuel A. Duarte-Mermoud

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

91 Citas (Scopus)

Resumen

We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced.

Idioma original	Inglés
Páginas (desde-hasta)	161-170
Número de páginas	10
Publicación	Applied Mathematics and Computation
Volumen	287-288
DOI	https://doi.org/10.1016/j.amc.2016.04.039
Estado	Publicada - 5 sep. 2016
Publicado de forma externa	Sí

Acceder al documento

10.1016/j.amc.2016.04.039

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{f90367654b5445cd946d5d349934c8a3,

title = "On the Lyapunov theory for fractional order systems",

abstract = "We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced.",

keywords = "Fractional order system, Lyapunov theory, Stability",

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

year = "2016",

month = sep,

day = "5",

doi = "10.1016/j.amc.2016.04.039",

language = "English",

volume = "287-288",

pages = "161--170",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

}

TY - JOUR

T1 - On the Lyapunov theory for fractional order systems

AU - Gallegos, Javier A.

AU - Duarte-Mermoud, Manuel A.

PY - 2016/9/5

Y1 - 2016/9/5

N2 - We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced.

AB - We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. We give examples to illustrate the applications of the concepts and propositions introduced.

KW - Fractional order system

KW - Lyapunov theory

KW - Stability

UR - https://www.scopus.com/pages/publications/84968895119

U2 - 10.1016/j.amc.2016.04.039

DO - 10.1016/j.amc.2016.04.039

M3 - Article

AN - SCOPUS:84968895119

SN - 0096-3003

VL - 287-288

SP - 161

EP - 170

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On the Lyapunov theory for fractional order systems

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto