Quasi-Synchronization and Dissipativity Analysis for Fractional-Order Neural Networks with Time Delay

Abstract

The objective of this research is to examine the global dissipativity and quasi-synchronization of fractional-order neural networks (FNNs). A global dissipativity criterion is established through the creation of an appropriate Lyapunov function, together with some fractional-order inequality techniques. Additionally, the issue of quasi-synchronization for drive-response FNNs is investigated using linear state feedback control. The study reveals the synchronization error converges to a bounded region by choosing an appropriate control parameter. Finally, the effectiveness of the obtained works are validated through three numerical examples.

Keywords

• fractional-order neural networks
• quasi-synchronization
• dissipativity
• linear feedback control