Projective reduce order synchronization of fractional order chaotic systems with unknown parameters

Volume 10, Issue 4, pp 2103--2114 http://dx.doi.org/10.22436/jnsa.010.04.64

Publication Date: April 20, 2017 Submission Date: February 12, 2017

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Authors

M. Mossa Al-sawalha - Mathematics Department, Faculty of Science, University of Hail, Kingdom of Saudi Arabia..

Abstract

This paper, mainly concerns the adaptive projective reduce order synchronization behavior of uncertain chaotic system. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of two chaotic and hyperchaotic systems asymptotically synchronized up to a desired identical and different scaling matrix. Numerical simulation results show that the proposed method is effective, convenient, and also faster for projective dual synchronization of chaotic and hyperchaotic systems.

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Keywords

• Projective
• reduce order synchronization
• adaptive control
• unknown parameters
• Lyapunov stability theory.

MSC

•  3C10
•  93C95

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