The adaptive synchronization of fractional-order chaotic system with fractional-order 1<q<2 via linear parameter update law

The adaptive synchronization of fractional-order chaotic system with fractional-order 1<q<2 via linear parameter update law

This paper presents an adaptive synchronization approach for fractional-order chaotic systems with fractional-order 1 < q < 2 and unknown system parameters based on the Mittag–Leffler function and the generalized Gronwall inequality. A sufficient condition is obtained. The numerical simulation...

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Veröffentlicht in:Nonlinear dynamics 2015-04, Vol.80 (1-2), p.753-765
Hauptverfasser: Zhou, Ping, Bai, Rongji
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Original Paper
Vibration
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Zusammenfassung:This paper presents an adaptive synchronization approach for fractional-order chaotic systems with fractional-order 1 < q < 2 and unknown system parameters based on the Mittag–Leffler function and the generalized Gronwall inequality. A sufficient condition is obtained. The numerical simulations are given to verify the effectiveness of this synchronization scheme.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-1903-x