https://doi.org/10.1140/epjs/s11734-024-01214-2
Regular Article
Synchronization for uncertain neural networks with randomly occurring uncertainties and time-delay based on the sliding mode control
Department of Mathematics, School of Sciences and Humanities, Shiv Nadar University, Kalavakkam, 603110, Chennai, Tamil Nadu, India
b
vembarasanv@snuchennai.edu.in
Received:
29
March
2024
Accepted:
14
June
2024
Published online:
25
June
2024
This investigation delved into the synchronization of master–slave systems in uncertain neural networks featuring randomly occurring uncertainties and time-delay, employing the sliding mode control technique. A strategy involving an integral sliding mode surface and controller has been developed to ensure the neural networks’ state trajectories could swiftly reach the sliding mode surface.The goal was to achieve synchronization through the use of linear matrix inequalities by utilizing a reciprocally convex method with a Lyapunov–Krasovskii functional approach. Finally, a numerical illustration demonstrating the effectiveness of the obtained findings was shown.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.