https://doi.org/10.1140/epjs/s11734-025-01634-8
Regular Article
Fractional memristive-discrete neural network: projective terminal sliding mode synchronization
1
Instituto de Investigación en Energía, Universidad Nacional Autónoma de Honduras UNAH, Tegucigalpa, Honduras
2
Instituto de Robótica IRI-CSIC, Universidad Politécnica de Cataluña, Barcelona, Spain
3
Faculty of Electronics Technology, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam
Received:
1
July
2024
Accepted:
15
April
2025
Published online:
29
April
2025
The dynamic analysis and the synchronization of fractional order memristive-discrete neural networks are presented in this research. First, a thorough dynamic analysis of these discrete neural networks is carried out. To analyze the stability utilizing Lyapunov theory, this research study starts with a stability analysis of two different types of neural networks. It is noteworthy to emphasize that, given the paucity of research on fractional-order memristive-discrete neural networks, this study analyzes and develops innovative stability and dynamic analysis. Furthermore, a synchronization technique based on fractional-order projective terminal sliding mode controller is devised for these neural network. The advantage of the proposed control strategies among other strategies found in the literature is that the settling time is significantly fast than a single projective synchronization scheme or a single sliding mode control synchronization techniques. The significance of the numerical experiments is that they validate the theoretical results obtained in the paper.
This research is supported by the institutions involved.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
