@article{Guo2024, 
author = {Jun Guo and Yanchao Shi and Shengye Wang},
title = {Synchronization analysis of delayed quaternion-valued memristor-based neural networks by a direct analytical approach},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {5},
pages = {3377-3395},
keywords = {exponential synchronization, memristor-based neural networks, memristor, quaternion-valued},
url = {https://www.sciopen.com/article/10.3934/era.2024156},
doi = {10.3934/era.2024156},
abstract = {This issue discusses the asymptotic synchronization and the exponential synchronization for memristor-based quaternion-valued neural networks under the time-varying delays. Some criteria for synchronization of the memristor-based quaternion-valued neural networks are given by exploiting the set-valued theory, the differential inclusion theory, some analytic techniques, as well as constructing novel controllers, It is worth noting that the synchronization problem about the memristor-based quaternion-valued neural networks were studied by the direct analysis method in this paper. Finally, the main theoretical results were verified by numerical simulations.}
}