Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch

The new unified chaotic system with continuous periodic switch between Lorenz and Chen systems is non-autonomous ones, which has many properties, such as symmetry and invariance, dissipative, tracking any target function etc. Control and synchronization of complete and lag for the system are discussed based on impulsive control theory in this paper. Some new general criteria for global asymptotical stability of continuous periodic switch system are established, and particularly some simple sufficient conditions are derived for stabilizing, complete and lag synchronizing chaotic system with continuous periodic switch. Theoretical analysis and numerical simulations are provided to show the effectiveness and feasibility of these methods.