Generalized Function Projective Synchronization of a Class of Delayed Chaotic Systems

In the literatures, most studies mainly concentrate on synchronization of the finite-dimensional chaotic systems, i.e., the chaotic systems without time delay. To overcome this limitation, generalized function projective synchronization (GFPS) of a class of delayed chaotic systems is investigated in this paper. In the GFPS scheme, the drive and response systems are asymptotically synchronized up to a desired scaling function matrix. Based on LaSalle's invariance principle and the adaptive control method, a nonlinear controller and corresponding update law are designed to achieve GFPS between two different delayed chaotic systems. Numerical simulations are given to validate the effectiveness the proposed synchronization scheme.