Modified Projective Synchronization of Chaotic Systems with Unknown Parameters
This paper proposes the modified projective synchronization of uncertain chaotic systems with unknown parameters via active adaptive sliding mode control (AASMC). The disturbances are considered both in the drive and the response system. The bounds of the disturbances are unknown. The adaptive updating laws are designed to tackle the unknown parameters. Moreover, the robustness and stability of the proposed AASMC is proved by the Lyapunov stability theory. Some numerical simulations are given to demonstrate the robustness and efficiency of the proposed scheme.
M. X. Yan and L. P. Fan, "Modified Projective Synchronization of Chaotic Systems with Unknown Parameters", Applied Mechanics and Materials, Vols. 128-129, pp. 1182-1185, 2012