On the L p synchronization and finite-time synchronization of fractional-order complex networks
Shuailei Zhang, Xinge Liu, Saeed Ullah, XU Hong-fu · International Journal of General Systems · 2025
The Lp synchronization and finite-time synchronization of fractional-order complex networks is investigated in this paper. A fractional-order derivative inequality for μ−strongly convex functions is proved. In order to sharply estimate the settling time, by incorporating the sign function, two new finite-time inequalities are established. Based on these inequalities, some new sufficient conditions on the Lp synchronization of fractional-order complex networks and the finite-time synchronization of fractional-order complex networks are proposed. Two novel state-feedback controllers are also designed. Finally, three numerical examples are provided to validate the effectiveness of the synchronization results.