Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 47, Issue 10, Pages 2440-2448Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2014.998741
Keywords
projective synchronisation; finite time; complete synchronisation; fractional-order; input-to-state stable
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Funding
- Research Foundation of Education Bureau of Hunan Province, China [13C372]
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The issue of synchronisation for a fractional-order chaotic system with uncertainties and disturbance is studied in this paper. The finite-time input-to-state stable theory of fractional-order dynamical system is presented for the first time. A linear feedback controller is proposed to achieve synchronisation of this fractional-order system and guarantee the bounded state error for any bounded interference in finite time. Since the chaotic system displays special dynamical behaviours as invariable Lyapunov exponent spectrums and controllable signal amplitude, one can achieve complete synchronisation and projective synchronisation by only adjusting the system parameter. Numerical simulations are shown to verify the feasibility of the presented synchronisation scheme.
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