Journal
PHYSICS LETTERS A
Volume 374, Issue 2, Pages 202-207Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2009.10.051
Keywords
Fractional-order system; Caputo fractional derivative; Incommensurate fractional system; Open-plus-closed-loop control; Chaos synchronization
Categories
Funding
- State Key Program of National Natural Science Foundation of China [60736028]
- National Natural Science Foundation of China [10871074, 60704045]
- Research Fund for the Doctoral Program of Higher Education of China [20070558053]
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Synchronization of fractional-order nonlinear systems has received considerable attention for many research activities in recent years. In this Letter, we consider the synchronization between two nonidentical fractional-order systems. Based on the open-plus-closed-loop control method, a general coupling applied to the response system is proposed for synchronizing two nonidentical incommensurate fractional-order systems. We also derive a local stability criterion for such synchronization behavior by utilizing the stability theory of linear incommensurate fractional-order differential equations. Feasibility of the proposed coupling scheme is illustrated through numerical simulations of a limit cycle system, a chaotic system and a hyperchaotic system. (C) 2009 Elsevier B.V. All rights reserved.
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