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

Research output: Contribution to journal › Article › peer-review

91 Scopus citations

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.

Original language	English
Pages (from-to)	161-170
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	287-288
DOIs	https://doi.org/10.1016/j.amc.2016.04.039
State	Published - 5 Sep 2016
Externally published	Yes

Keywords

Fractional order system
Lyapunov theory
Stability

Access to Document

10.1016/j.amc.2016.04.039

Cite this

@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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this