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

Joint Authors

Chen, Hua
Chen, Wen
Zhang, Bingwu
Yue, Xingye

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-07-18

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chen, Hua& Chen, Wen& Zhang, Bingwu& Yue, Xingye. 2013. Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-463342

Modern Language Association (MLA)

Chen, Hua…[et al.]. Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-463342

American Medical Association (AMA)

Chen, Hua& Chen, Wen& Zhang, Bingwu& Yue, Xingye. Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding Mode Technique. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-463342

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463342