Synchronization control of a class of fractional-order neutral neural networks with mixed time-varying delays

Abstract This paper focuses on the synchronization control problem of fractional-order neutral neural networks (FONNs) characterized by mixed time-varying delays, which include leakage, transmission, distributed, and neutral delays. First, a novel synchronization control system is designed, which comprises a drive system, a response system, and a feedback controller. Subsequently, conditions for asymptotic synchronization between drive and response systems are established in the form of linear matrix inequalities (LMIs) and proven using Lyapunov functional theory, incorporating a variable matrix weighting approach, and Halanay-type inequality. Finally, four simulation examples are conducted to validate the feasibility and effectiveness of the theoretical analysis, demonstrating clear advantages over previously reported results.