Exponential/Polynomial Synchronization Analysis of Complex‐Valued Neural Networks With Proportional Delay and Transmission Delay

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.