Synchronization of fractional-order linear complex networks with directed coupling topology. (English) Zbl 1514.34085
Summary: The synchronization of fractional-order complex networks with general linear dynamics under directed connected topology is investigated. The synchronization problem is converted to an equivalent simultaneous stability problem of corresponding independent subsystems by use of a pseudo-state transformation technique and real Jordan canonical form of matrix. Sufficient conditions in terms of linear matrix inequalities for synchronization are established according to stability theory of fractional-order differential equations. In a certain range of fractional order, the effects of the fractional order on synchronization is clearly revealed. Conclusions obtained in this paper generalize the existing results. Three numerical examples are provided to illustrate the validity of proposed conclusions.
MSC:
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 15A21 | Canonical forms, reductions, classification |
| 34A08 | Fractional ordinary differential equations |
Keywords:
fractional-order derivative; complex networks; synchronization; real Jordan canonical form; linear matrix inequalityReferences:
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