Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay
Biwen Li, Nengjie Wang, Xiaoli Ruan, Qiujin Pan · Advances in Difference Equations · 2018
The synchronization problem for a class of fractional-order complex dynamical networks with and without time-varying delay is investigated in this paper. By utilizing generalized Barbalat’s lemma, Razumikhin-type stability theory and matrix inequality technique, some sufficient criteria ensuring synchronization under pinning control and pinning adaptive feedback control are derived. Finally, three numerical simulations are presented to demonstrate the effectiveness of the obtained results.