This study introduces a variable structure technology for the synchronization of chaos between two different hyperchaotic systems with input nonlinearity. Based on Lyapunov stability theory, a sliding mode controller and some generic sufficient conditions for global asymptotic synchronization are designed such that the error dynamics of the hyperchaotic Rössler and hyperchaotic Chen systems satisfy stability in the Lyapunov sense in spit of the input nonlinearity. The numerical simulation results demonstrate the validity and feasibility of the proposed controller.
Chao-Lin Kuo, Cheng-Chi Wang and Neng-Sheng Pai, 2009. Design of Variable Structure Synchronization Controller for Two Different Hyperchaotic Systems Containing Nonlinear Inputs. Journal of Applied Sciences, 9: 2635-2639.