Abstract
•The problem of Q-S synchronization for fractional order systems is investigated.•Synchronization schemes are designed to realize Q-S synchronization behavior.•Numerical simulations are used to demonstrate the effectiveness of the derived results.
Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach.