Event-Triggered Fault Detection Filter Design for Discrete-Time Memristive Neural Networks With Time Delays
Wenjuan Lin, Yong He, Chuan‐Ke Zhang, Leimin Wang, Min Wu
Abstract
In this article, the fault detection (FD) filter design problem is addressed for discrete-time memristive neural networks with time delays. When constructing the system model, an event-triggered communication mechanism is investigated to reduce the communication burden and a fault weighting matrix function is adopted to improve the accuracy of the FD filter. Then, based on the Lyapunov functional theory, an augmented Lyapunov functional is constructed. By utilizing the summation inequality approach and the improved reciprocally convex combination method, an FD filter that guarantees the asymptotic stability and the prescribed <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> performance level of the residual system is designed. Finally, numerical simulations are provided to illustrate the effectiveness of the presented results.