@article{Li2022, 
author = {Ailing Li and Mengting Lv and Yifang Yan},
title = {Asymptotic stability for quaternion-valued BAM neural networks via a contradictory method and two Lyapunov functionals},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8206-8223},
keywords = {quaternion-valued BAM neural networks, contradictory method, asymptotic stability, Lyapunov functionals},
url = {https://www.sciopen.com/article/10.3934/math.2022457},
doi = {10.3934/math.2022457},
abstract = {We explore the existence and asymptotic stability of equilibrium point for a class of quaternion-valued BAM neural networks with time-varying delays. Firstly, by employing Homeomorphism theorem and a contradictory method with novel analysis skills, a criterion ensuring the existence of equilibrium point of the considered quaternion-valued BAM neural networks is acquired. Secondly, by constructing two Lyapunov functionals, a criterion assuring the global asymptotic stability of equilibrium point for above discussed quaternion-valued BAM is presented. Applying a contradictory method to study the equilibrium point and applying two Lyapunov functionals to study stability of equilibrium point are completely new methods.}
}