Generalized binary function projective synchronization of chaotic systems with unknown parameters

Based on function projective synchronization theorem, a novel type of synchronization scheme called generalized binary function projective synchronization is proposed. Combining adaptive control theory with special matrix structure, an extended adaptive controller which is more general than some existing controllers is designed. Under the controller, the proposed synchronization between two different uncertain chaotic systems is achieved and the unknown parameters are also estimated. Numerical simulation result is presented to show the validity and feasibility of the scheme and controller.