Design disturbance attenuating controller for memristive recurrent neural networks with mixed time-varying delays

Abstract

Abstract This paper investigates the design of disturbance attenuating controller for memristive recurrent neural networks (MRNNs) with mixed time-varying delays. By applying the combination of differential inclusions, set-valued maps and Lyapunov–Razumikhin, a feedback control law is obtained in the simple form of linear matrix inequality (LMI) to ensure disturbance attenuation of memristor-based neural networks. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

Keywords

• Memristor
• Disturbance attenuating control
• Filippov
• Time-varying delays
• Lyapunov–Razumikhin Theorem