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Pinning synchronization of fractional-order complex networks by a single controller. (English) Zbl 1373.93154

Summary: We investigate the state feedback pinning synchronization of fractional-order complex networks. Based on the stability theory of fractional-order differential systems and state feedback control by a single controller, synchronization conditions for fractional-order complex networks are given. We assume that the coupling matrix is irreducible, and provide a numerical example to illustrate the validity of the proposed conclusions.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
34A08 Fractional ordinary differential equations
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