Chaotic test of a 4-D non-equilibrium fractional order chaotic system and its control

A 4-D fractional order chaotic system without equilibrium point is studied in this paper, the modification of the differential transform method (MDTM) is applied to solving the fractional order chaotic system, and 0-1 test method is used to test chaotic of the system, the regular and chaotic motions can be decided by calculating the asymptotic growth rate K approaching asymptotically to zero or one. We give the stable condition for the stability of the system via qausi state feedback, and also design a qausi state feedback controller to stabilize the 4-D fractional order chaotic system. The feasibility of the algorithm is verified by simulation example.