$On the Lyapunov theory for fractional order systems$

On the Lyapunov theory for fractional order systems

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 propositi...

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Veröffentlicht in:	Applied mathematics and computation 2016-09, Vol.287-288, p.161-170
Hauptverfasser:	Gallegos, Javier A., Duarte-Mermoud, Manuel A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computation Fractional order system Lyapunov theory Mathematical models Stability Theorems
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Beschreibung
Zusammenfassung:	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.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2016.04.039