Author(s)

Nan Li, Liang Wang

Department of Mathematics, Shanghai Normal University, Shanghai, China.

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.

Delayed Impulsive Control, Hybrid System, Synchronization, Delay-Compensatory

Li, N. and Wang, L. (2024) Exponential Estimation of the Lyapunov Function for Delay-Coupled Neural Networks with Integral Terms. Journal of Applied Mathematics and Physics, 12, 870-876. doi: 10.4236/jamp.2024.123054.