Delay-Dependent and Order-Dependent H∞ Control for Fractional-Order Neural Networks with Time-Varying Delay

This paper studies the problem of robust H-infinity 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 firstly formulated. Then, we propose a criterion for designing H-infinity controller such that the designed controller attenuates the effect 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 effectiveness of our results.

Automated summary

This paper investigates the robust H-infinity control problem for fractional-order neural networks (FONNs) with time-varying delay and external disturbance. New stabilization criteria and a criterion for designing an H-infinity controller are proposed, which are validated through a numerical example to demonstrate their effectiveness in attenuating the impact of external disturbance on the system.