The synchronization of the different dimensional Rabinovich systems using passive control and sliding mode control methods

摘要

This paper discusses the finite-time synchronization for different dimensional Rabinovich systems by two types, namely reduced-order synchronization and increased-order synchronization. The passive control and sliding mode control techniques are discussed in this study to achieve the chaos synchronization. Both of the techniques realize the synchronization by constructing controllers. But, the controllers of the two ways are respectively based on the Lyapunov stability theory and Routh-Hurwitz criterion which are utilized to ensure the global asymptotic stability of the error state system. Under the controllers, the error status system can be adjusted to zero equilibrium point. Numerical simulations have compared and demonstrated the results of the two introduced approaches.