Inverse synchronization of coupled fractional-order systems through open-plus-closed-loop control |
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Authors: | JUNWEI WANG LI ZENG QINGHUA MA |
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Institution: | (1) Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China; |
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Abstract: | In this paper, the inverse synchronization problem of fractional-order dynamical systems is investigated. A general explicit
coupling via an open-plus-closed-loop control for inverse synchronization of two arbitrary unidirectionally or bidirectionally
coupled fractional-order systems is proposed. The inverse synchronization is proved analytically based on the stability theorem
of the fractional differential equations. A key feature of this proposed scheme is that it can be applied not only to nonchaotic
but also to chaotic fractional-order systems whenever they exhibit regular or irregular oscillations. Feasibility of the proposed
inverse synchronization scheme is illustrated through numerical simulations. |
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