Global μ-stabilization of quaternion-valued inertial BAM neural networks with time-varying delays via time-delayed impulsive control

作者：Zhao, Rui; Wang, Baoxian^*; Jian, Jigui

来源：MATHEMATICS AND COMPUTERS IN SIMULATION, 2022, 202: 223-245.

DOI：10.1016/j.matcom.2022.05.036

• Quaternion-valued BAM neural networks (QVBAMNNs)
• Inertial time-delayed impulse
• Global ?-stabilization
• Impulsive control

This article deals with global mu-stabilization of quaternion-valued inertial bidirectional associative memory neural networks (QVIBAMNNs) with time-varying delays via time-delayed impulsive control. Firstly, the existence and uniqueness of the equilibrium point are proved by the homeomorphism mapping method. Then, based on an improved differential inequality, sufficient conditions for global mu-stabilization of QVIBAMNNs via time-delayed impulsive control are obtained. Significantly, the activation function in this paper is an extension of Lipschitz condition, which is superior to general quaternion-valued activation function. And quaternion is not required to be decomposed into real or complex values in this paper. Ultimately, some numerical simulations have proved the feasibility of the theorems.