Finite-Time Output Synchronization for Fractional-Order Complex Networks With Output or Output Derivative Coupling

This article delves into the finite-time output synchronization (FTOS) for an output-coupled fractional-order complex network (OCFOCN) and an output- derivative-coupled fractional-order complex network (ODCFOCN). Based on the properties of the Gamma function and several crucial lemmas, an FTOS criterion for the OCFOCN is derived by designing an appropriate output-feedback controller. Moreover, a novel adaptive output-feedback controller is also presented to guarantee the FTOS of the OCFOCN. In addition, the FTOS problem for the ODCFOCN is further explored by exploiting output-feedback and adaptive output-feedback control methods. Finally, two numerical examples are utilized to substantiate the effectiveness of the results obtained here.