Abstract：In order to investigate an adaptive synchronization method for fractional-order chaotic Lü systems with fully uncertain parameters via a scalar controller,the stability theorem of fractional-order systems,a simply adaptive scalar controller and parameter update laws are designed to not only realize the synchronization of fractional-order Lü systems but also estimate all the uncertain parameters from the time series of the drive and response systems. Numerical simulations demonstrate the effectiveness of the proposed method.

Keyword：fractional-order chaotic Lü system;adaptive synchronization;scalar controller;parameters identification;