@article{Bu2025, 
author = {Tianran Bu},
title = {Quantized              H        ∞   synchronization for Hopfield networks subject to time-variable delay},
year = {2025},
journal = {Networks and Heterogeneous Media},
volume = {20},
number = {4},
pages = {1392-1410},
keywords = {Hopfield network, quantized control, H∞ synchronization, time-variable delay},
url = {https://www.sciopen.com/article/10.3934/nhm.2025060},
doi = {10.3934/nhm.2025060},
abstract = {This paper is dedicated to the study of              H        ∞   synchronization for Hopfield networks (HNs) with time-variable delay via quantized control. The delay function is assumed to be continuous and bounded, yet not necessarily differentiable. A delay-dependent sufficient condition is derived using a linear combination of Lyapunov functional candidates along with two matrix inequalities to ensure the              H        ∞   synchronization of drive-response HNs. Based on this, an alternative sufficient condition characterized by reduced nonlinearities is further established by employing decoupling techniques. With fixed bounds on the time delay and the              H        ∞   disturbance attenuation level, an algorithm is then proposed to compute the minimum required gain for the quantized controller. Finally, a numerical example demonstrates the effectiveness of the proposed              H        ∞   synchronization results.}
}