Abstract
We present an adaptive tracking control scheme and a parameter identification method for complex-variable chaotic systems (CVCSs) with bounded disturbances and different situations of unknown parameters. Firstly, we propose the tracking control scheme that can guarantee adaptive tracking for two arbitrary bounded CVCSs, and can be generalized to full state hybrid projective synchronization (FSHPS). Secondly, we give the definition of linear independence for complex-variable functions and derive the sufficient and necessary condition that allow unknown parameters to converge to their true values. Finally, we evaluate the developed schemes in simulations by taking the chaotic complex Chen system as the response system, and the chaotic complex Lu system as reference signals with interference and random noise. The simulation results verify our theoretical analysis and demonstrate the effectiveness and robustness of the proposed schemes.