Abstract: Based on the Lyapunov stability theory, taking the two subsystems of the generalized translational chaotic systems as examples. Using adaptive synchronization and sliding mode control, we designed adaptive nonlinear feedback controllers to realize synchronization of different structures of translational chaotic systems Ⅰand Ⅱ. Numerical simulation results show that the method is effective.

Key words: synchronization of different structures, Lyapunov stability theory, generalized translational chaotic system