 Global μ-stabilization of quaternion-valued inertial BAM neural networks with time-varying delays via time-delayed impulsive controlRui Zhao, Baoxian Wang and Jigui Jian Mathematics and Computers in Simulation (MATCOM), 2022, vol. 202, issue C, 223-245 Abstract: This article deals with global μ-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 μ-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. Keywords: Quaternion-valued BAM neural networks (QVBAMNNs); Inertial time-delayed impulse; Global μ-stabilization; Impulsive control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:202:y:2022:i:c:p:223-245 DOI: 10.1016/j.matcom.2022.05.036 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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