This paper studies the problem of robust H∞control for fractional-order neural networks  (FONNs) with respect to a time-varying delay and external disturbance. By employing  fractional-order Razumikhin theorem, a new delay-dependent and order-dependent stabilization criterion in term of linear matrix inequality (LMI) for FONNs with zero disturbance  is frstly formulated. Then, we propose a criterion for designing H∞controller such that the 

designed controller attenuates the efect of the external disturbance on the system with the 

help of the proposed stabilization criteria and some auxiliary properties of fractional calculus. A numerical example is conducted to validate the efectiveness of our results. This paper studies the problem of robust H∞control for fractional-order neural networks (FONNs) with respect to a time-varying delay and external disturbance. By employing fractional-order Razumikhin theorem, a new delay-dependent and order-dependent stabilization criterion in term of linear matrix inequality (LMI) for FONNs with zero disturbance is frstly formulated. Then, we propose a criterion for designing H∞controller such that the designed controller attenuates the efect of the external disturbance on the system with the help of the proposed stabilization criteria and some auxiliary properties of fractional calculus. A numerical example is conducted to validate the efectiveness of our results.