Abstract
This briefly investigates the bipartite finite time synchronization in fractional-order impulsive signed networks (FISNs), where there exist antagonistic communication links between neighboring nodes. Firstly, some new judgment conditions about finite time stability of FISNs are given on generalized Caputo fractional-order derivative. Secondly, by using Dirac function and the grapy theory, FISNs are transformed to fractional-order impulsive differential equations, which shows that the impulsive effect on signed networks is dependent on the order of the addressed networks and impulsive function. Thirdly, to provide novel criteria for bipartite finite time synchronization of FISNs by using a low-dimensional linear matrix inequality, pinning impulsive control strategy is designed. Fourthly, an upper bound on setting time for synchronization is obtained, and the influence of order on setting time is analyzed. Finally, numerical simulation is provided for illustration.
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