LMI stability conditions for fractional order systems
Computers & Mathematics with Applications
Sliding mode synchronization of an uncertain fractional order chaotic system
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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A new scheme for accomplishing synchronization between two fractional-order unified chaotic systems is proposed in this paper. The scheme does not require that the nonlinear dynamics of the synchronization error system must be eliminated. Moreover, the parameter of the systems does not have to be known. A controller is a linear feedback controller, which is simple in implementation. It is designed based on an LMI condition. The LMI condition guarantees that the synchronization between the slave system and the master system is achieved. Numerical simulations are performed to demonstrate the effectiveness of the proposed scheme.