Delay-dependent finite-time synchronization criterion of fractional-order delayed complex networks

The delay-dependent finite-time synchronization (FTS) is investigated for a class of fractional-order delayed complex networks (FODCNs). First, with the aid of the Young inequality and the rule for fractional derivative of the composition function, a novel delay-dependent fractional-order finite-time convergence principle (FOFTCP) is given. The settling time obtained by this principle is dependent on the time delay, which leads to that obtained FTS criteria by this principle are less conservative than the earlier ones. Second, based on this delay-dependent FOFTCP and the designed feedback controller, a novel FTS criterion of FODCNs is obtained. Finally, two numerical examples are presented to show the effectiveness of the derived results.