Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal

Jun Guo Lu

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 107-118

Abstract: In this paper, based on the idea of nonlinear observer and stability theory of fractional-order systems, a new systematic scheme to synchronize a class of fractional-order chaotic systems via a scalar transmitted signal is developed. The approach is simple, global and theoretically rigorous. It enables synchronization of fractional-order chaotic systems to be achieved in a systematic way and does not require the computation of the conditional Lyapunov exponents. Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method.

Keywords: Chaos; Synchronization; Fractional-order system; Fractional calculus (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:107-118

DOI: 10.1016/j.physa.2005.04.040

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