Advances in Differential Equations and Control Processes
Volume 6, Issue 2, Pages 89 - 100
(November 2010)
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ANTI-SYNCHRONIZATION OF FRACTIONAL-ORDER CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS
Baoying Chen and Junwei Wang
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Abstract: In this paper, the anti-synchronization problem of fractional-order chaotic systems with unknown parameters is studied. Based on the stability theory of the fractional-order differential equations, the adaptive controller is designed and the sufficient conditions for achieving the anti-synchronization are derived. A new hyperchaotic system is taken as an example to show the reasonability and effectiveness of the proposed anti-synchronization scheme. |
Keywords and phrases: chaos anti-synchronization, fractal-order chaotic system, adaptive control, asymptotic stability. |
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