Exponential/Polynomial Synchronization Analysis of Complex‐Valued Neural Networks With Proportional Delay and Transmission Delay
Weiqiang Gong, Tengfei Duan, Zeyuan Huang, Qiang Li, Mali Xing · Mathematical Methods in the Applied Sciences · 2025
ABSTRACT This paper investigates the exponential and polynomial synchronization issues of drive–response complex‐valued neural networks (CVNNs) with proportional delay and transmission delay. Firstly, we introduce a definition for polynomial synchronization in CVNNs; then, by constructing Lyapunov function and designing suitable controllers, several delay‐dependent sufficient conditions are proposed to achieve the desired synchronization. In addition, for exponential and polynomial synchronization, their correlation is also derived. Finally, two illustrative examples are proposed to validate the efficacy and demonstrate the superiority of our theoretical findings.