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Neural Processing Letters
Published in: Neural Processing Letters 2/2022

05-01-2022

Lagrange Stability of BAM Quaternion-Valued Inertial Neural Networks via Auxiliary Function-Based Integral Inequalities

Authors: Rui Zhao, Baoxian Wang, Jigui Jian

Published in: Neural Processing Letters | Issue 2/2022

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Abstract

This article is concerned with the global exponential stability in Lagrange sense of bidirectional associative memory quaternion-valued inertial neural networks by non-reduced order and undecomposed approach. Firstly, for the completeness of the information carried by the model, the inertial term is not reduced in order, and the quaternion is not decomposed into four real values or two complex values. Then, for the sake of reducing the conservatism, auxiliary function-based inequalities and reciprocally convex inequality are applied to the set of quaternion. And several criteria for Lagrange stability are acquired in the form of linear matrix inequalities. Ultimately, numerical simulations are proved the feasibility of the outcomes.
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Metadata
Title
Lagrange Stability of BAM Quaternion-Valued Inertial Neural Networks via Auxiliary Function-Based Integral Inequalities
Authors
Rui Zhao
Baoxian Wang
Jigui Jian
Publication date
05-01-2022
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2022
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-021-10685-6

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