Journal
NONLINEAR DYNAMICS
Volume 80, Issue 1-2, Pages 753-765Publisher
SPRINGER
DOI: 10.1007/s11071-015-1903-x
Keywords
Mittag-Leffler function; Generalized Gronwall inequality; Fractional-order chaotic systems; Adaptive synchronization; Linear parameter update law
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Funding
- National Natural Science Foundation of China [61104150]
- Science Fund for Distinguished Young Scholars of Chongqing [cstc2013jcyjjq40001]
- Science and Technology Project of Chongqing Education Commission [KJ130517]
- Natural Science Foundation of Chongqing [cstc2013jcyjA00026]
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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.
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