@article{Ma2024, 
author = {Shuo Ma and Jiangman Li and Qiang Li and Ruonan Liu},
title = {Adaptive exponential synchronization of impulsive coupled neutral stochastic neural networks with Lévy noise and probabilistic delays under non-Lipschitz conditions},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {24912-24933},
keywords = {coupled neutral stochastic neural networks, Lévy noise, probabilistic delays, impulse, exponential synchronization},
url = {https://www.sciopen.com/article/10.3934/math.20241214},
doi = {10.3934/math.20241214},
abstract = {In this paper, we investigated the adaptive exponential synchronization problem of impulsive coupled neutral stochastic neural networks with Lévy noise and probabilistic delays under non-Lipschitz conditions. A stochastic variable with a Bernoulli distribution was utilized to transform the information regarding probabilistic delays into a model featuring deterministic time delays and stochastic parameters. In the context of adaptive controllers, exponential synchronization conditions depending on the delay, noise intensity, and impulse factor were derived using Lyapunov-Krasovskii functions, the nature of Lévy noise, and some inequality methods. To provide further support for the proposed approach, two numerical illustrations were presented.}
}