## Journal of Applied Mathematics

### Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique

#### Abstract

A second-order sliding mode (SOSM) controller is proposed to synchronize a class of incommensurate fractional-order chaotic systems with model uncertainties and external disturbances. Based on the chattering free SOSM control scheme, it can be rigorously proved that the dynamics of the synchronization error is globally asymptotically stable by using the Lyapunov stability theorem. Finally, numerical examples are provided to illustrate the effectiveness of the proposed controller design approach.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 321253, 11 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808060

Digital Object Identifier
doi:10.1155/2013/321253

Mathematical Reviews number (MathSciNet)
MR3082040

Zentralblatt MATH identifier
1271.93130

#### Citation

Chen, Hua; Chen, Wen; Zhang, Binwu; Cao, Haitao. Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique. J. Appl. Math. 2013 (2013), Article ID 321253, 11 pages. doi:10.1155/2013/321253. https://projecteuclid.org/euclid.jam/1394808060

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