Exponential Estimation of the Lyapunov Function for Delay-Coupled Neural Networks with Integral Terms  

作　　者：Nan Li Liang Wang Nan Li;Liang Wang(Department of Mathematics, Shanghai Normal University, Shanghai, China)

机构地区：[1]Department of Mathematics, Shanghai Normal University, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第3期870-876,共7页应用数学与应用物理（英文）

摘　　要：This paper investigates a class of coupled neural networks with delays and ad-dresses the exponential synchronization problem using delay-compensatory impulsive control. Razumikhin-type inequalities involving some destabilizing delayed impulse gains are proposed, along with a new delay-compensatory concept demonstrating two crucial roles in system stability. Based on the constructed inequalities and the introduced delay-compensatory concept, sufficient stability and synchronization criteria for globally exponential synchronization of coupled neural networks are provided. To address the exponential synchronization problem in coupled neural networks. Utilizing delay-compensatory impulsive control and Razumikhin-type inequalities. The Lyapunov function for coupled neural networks with delays and integral terms exhibits exponential estimates.This paper investigates a class of coupled neural networks with delays and ad-dresses the exponential synchronization problem using delay-compensatory impulsive control. Razumikhin-type inequalities involving some destabilizing delayed impulse gains are proposed, along with a new delay-compensatory concept demonstrating two crucial roles in system stability. Based on the constructed inequalities and the introduced delay-compensatory concept, sufficient stability and synchronization criteria for globally exponential synchronization of coupled neural networks are provided. To address the exponential synchronization problem in coupled neural networks. Utilizing delay-compensatory impulsive control and Razumikhin-type inequalities. The Lyapunov function for coupled neural networks with delays and integral terms exhibits exponential estimates.

关 键 词：Delayed Impulsive Control Hybrid System Synchronization Delay-Compensatory 

分 类 号：O17[理学—数学]