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Yuan, Jian; Shi, Bao; Zeng, Xiaoyun; Ji, Wenqiang; Pan, Tetie

Sliding mode control of the fractional-order unified chaotic system. (English) Zbl 1291.34021

Abstr. Appl. Anal. 2013, Article ID 397504, 13 p. (2013).
Summary: This paper deals with robust synchronization of the fractional-order unified chaotic systems. Firstly, control design for synchronization of nominal systems is proposed via fractional sliding mode technique. Then, systematic uncertainties and external disturbances are considered in the fractional-order unified chaotic systems, and adaptive sliding mode control is designed for the synchronization issue. Finally, numerical simulations are carried out to verify the effectiveness of the two proposed control techniques.

Cited in 4 Documents

MSC:

34A08 Fractional ordinary differential equations
93C15 Control/observation systems governed by ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
93B12 Variable structure systems
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