Li, R. and Chen, W. (2014) Lyapunov-Based Fractional-Order Controller Design to Synchronize a Class of Fractional-Order Chaotic Systems. Nonlinear Dynamics, 76, 785-795.
https://doi.org/10.1007/s11071-013-1169-0

has been cited by the following article:

• TITLE: Finite-Time Synchronization of Fractional-Order Chaotic Systems with Different Structures under Stochastic Disturbances

  AUTHORS: Weiqiu Pan, Tianzeng Li

  KEYWORDS: Fractional Order, Chaos, Finite-Time Synchronization, Stochastic Disturbance

  JOURNAL NAME: Journal of Computer and Communications, Vol.9 No.6, June 21, 2021

  ABSTRACT: This paper studies the finite-time synchronization of fractional-order chaotic systems with different structures under parameter disturbance and external disturbance. We put forward a fractional-order controller that can achieve the finite-time synchronization of any-order fractional-order chaotic systems under stochastic disturbances. This controller has good robustness and anti-interference performance. With the concept of the finite-time stability theory given, some judgment criterions for the synchronization of fractional-order chaotic systems are proved. This method can not only make the error systems have a faster convergence rate but also can be implemented in engineering easily. The numerical simulations of two specific examples demonstrate the effectiveness of the method. At the same time, the synchronised time of finite-time synchronization is shorter and faster than the complete synchronization and the time can be adjusted according to the parameters in the controller.