Global synchronization of fractional-order quaternion-valued neural networks with leakage and discrete delays

In this paper, without transforming the quaternion-valued neural networks into two equivalent complex-valued systems or four equivalent real-valued systems, a novel class of fractional-order quaternion-valued neural networks with leakage and discrete delays is investigated. To this end, two novel in...

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Bibliographic Details
Published in:Neurocomputing (Amsterdam) 2020-04, Vol.385, p.211-219
Main Authors: Li, Hong-Li, Jiang, Haijun, Cao, Jinde
Format: Article
Language:English
Subjects:
Fractional-order
Global synchronization
Leakage and discrete delays
Quaternion-valued neural networks
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Summary:In this paper, without transforming the quaternion-valued neural networks into two equivalent complex-valued systems or four equivalent real-valued systems, a novel class of fractional-order quaternion-valued neural networks with leakage and discrete delays is investigated. To this end, two novel inequalities are established with the aid of properties of quaternion and Caputo fractional derivative. By exploiting Lyapunov method, our established inequalities, fractional-order Razumikhin theorem and some analysis techniques, some criteria ensuring the global asymptotical synchronization and the global Mittag-Leffler synchronization of the considered networks are obtained through designing suitable controllers. Finally, two numerical examples are utilized to show the derived theoretical results.
ISSN:0925-2312
1872-8286
DOI:10.1016/j.neucom.2019.12.018