Quasi-Projective Synchronization of Discrete-Time Fractional-Order T-S Fuzzy Complex-Valued Neural Networks With Hybrid Delays
Rong Chen, Hongli Li, Long Zhang, Tingwen Huang, Jinde Cao · IEEE Transactions on Automation Science and Engineering · 2025
This article delves into quasi-projective synchronization (Q-PS) problem for a class of discrete-time fractional-order T-S fuzzy complex-valued neural networks (DFTSFCNNs) with leakage and time-varying delays. First of all, according to the theory of discrete fractional calculus and properties of Mittag-Leffler function, an innovative property of discrete Mittag-Leffler function is strictly proved, and then an inequality for dealing with mixed time delays is rigorously derived. Next, by utilizing Caputo fractional difference theory and combining with property and the inequality offered in this article, some easily verifiable Q-PS criteria are derived under complex-valued fuzzy linear controller. Eventually, a numerical example is presented to demonstrate availability of the derived results.