Function projective synchronization for a class of uncertain chaotic systems using robust adaptive backstepping design

We propose a robust adaptive backstepping design method to realize function projective synchronization between different master and slave chaotic systems. The slave system has parametric uncertainties and external disturbance. Parameter update law is derived to synchronize the slave with the master system based on the Lyapunov stability theory. The proposed scheme guarantees that the errors are uniformly ultimately bounded.