Global polynomial synchronization of uncertain fractional variable-order BAM neural networks with proportional delay via quantized control

The objective of this work is to study the global polynomial synchronization (GPS) of fractional variable-order bidirectional associative memory neural networks (FVOBAMNNs) subjected to proportional delays and uncertain parameters. To deal with this challenge, a quantized controller incorporating linear error states and a non-smooth switching term is proposed. By leveraging this controller, GPS is attained by constructing an appropriate Lyapunov functional (LF) and applying suitable inequality-based techniques. The usefulness of the proposed synchronization approach is illustrated through two computational experiments.

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Publication Details

Journal
Scientific Reports
Published
2026-10-26
DOI
https://doi.org/10.1038/s41598-026-76904-z
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
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article

Global polynomial synchronization of uncertain fractional variable-order BAM neural networks with proportional delay via quantized control

S. Dharani, G. Pavithra, M. Sivakumar
Scientific Reports
Neural Networks Stability and Synchronization
article

Global polynomial synchronization of uncertain fractional variable-order BAM neural networks with proportional delay via quantized control

S. Dharani, G. Pavithra, M. Sivakumar
article en

Abstract

The objective of this work is to study the global polynomial synchronization (GPS) of fractional variable-order bidirectional associative memory neural networks (FVOBAMNNs) subjected to proportional delays and uncertain parameters. To deal with this challenge, a quantized controller incorporating linear error states and a non-smooth switching term is proposed. By leveraging this controller, GPS is attained by constructing an appropriate Lyapunov functional (LF) and applying suitable inequality-based techniques. The usefulness of the proposed synchronization approach is illustrated through two computational experiments.

Scientific Reports
Vellore Institute of Technology University (IN)
Openalex Percentile: Top 12%
Neural Networks Stability and Synchronization
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