Adaptive Output Synchronization of Coupled Fractional-Order Memristive Reaction-Diffusion Neural Networks

Abstract

This article discusses the adaptive output synchronization problem of coupled fractional-order memristive reaction-diffusion neural networks (CFOMRDNNs) with multiple output couplings or multiple output derivative couplings. Firstly, by using Lyapunov functional and inequality techniques, an adaptive output synchronization criterion for CFOMRDNNs with multiple output couplings is proposed. Then, an adaptive controller is designed for ensuring the output synchronization of CFOMRDNNs with multiple output derivative couplings. Finally, two numerical examples are given to verify the effectiveness of the theoretical results.

Synchronization of Fractional Delayed Memristive Neural Networks with Jump Mismatches via Event-Based Hybrid Impulsive Controller

“…Theorem 4. Similar to in Theorem 2, FMNNs (6) could also evade Zeno behavior with controller (9) under dynamic trigger function (30) when Theorem 3 is satisfied.…”

“…Synchronization in FMNNs, a key aspect of neural network dynamics, has attracted extensive academic interest [30,31]. Song and colleagues [32] crafted an adaptive continuous controller to robustly synchronize FMNNs, utilizing the continuous frequency distributed equivalent model as an analytical tool.…”