Quasi-projective synchronization of nonidentical fractional-order neural networks with inconsistent orders in quaternion field

The present study explores the quasi-projective synchronization (QPS) for nonidentical fractional-order quaternion-valued neural networks (FOQVNNs) with inconsistent orders. We construct two controls: quaternion-valued feedback control and quaternion-valued adaptive control to examine QPS of the FOQ...

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Bibliographic Details
Published in:Physica scripta 2025-01, Vol.100 (1), p.15256
Main Authors: Ansari, Md Samshad Hussain, Malik, Muslim
Format: Article
Language:English
Subjects:
fractional derivative
inconsistent orders
quasi-projective synchronization
quaternion-valued neural networks
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Summary:The present study explores the quasi-projective synchronization (QPS) for nonidentical fractional-order quaternion-valued neural networks (FOQVNNs) with inconsistent orders. We construct two controls: quaternion-valued feedback control and quaternion-valued adaptive control to examine QPS of the FOQVNNs. Rather than employing the conventional separation method, the quaternion-valued state is treated as an integrated whole, and the synchronization results for FOQVNNs are established using the Lyapunov direct method and the fractional derivative properties. Lastly, we give two numerical examples to validate the effectiveness of the acquired results.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad9c26