Abstract
This paper investigates the problem of modified function projective synchronization between two fractional-order complex dynamical networks with unknown parameters and unknown bounded external disturbances. Based on the stability theory of fractional-order differential system, a new robust adaptive control scheme is designed to achieve modified function projective synchronization for two fractional-order complex dynamical networks, which is able to estimate all unknown parameters and attenuate all random uncertainties of the fractional-order complex dynamical networks. Moreover, there is no need to know the norm-bounds of all random uncertainties, and the compensator gains can be automatically adapted to suitable constants. Numerical examples are provided to show the effectiveness of proposed methods.
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