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Research Article | Open Access

Master-slave synchronization for uncertain Markov jump neural networks with time-delay based on the sliding mode control

Wenjie YouTianbo Wang( )
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China
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Abstract

This paper investigated the master-slave synchronization for uncertain neural networks with time-delay by using the sliding mode control method. The uncertain parts in this neural network only needs to be bounded other than any structure condition. An integral sliding mode surface and sliding mode controller were designed such that the state trajectories of the neural networks could reach the sliding mode surface in finite time. Moreover, the computing method of the controller gain was proposed. Finally, a numerical example was provided to show the effectiveness of the obtained results.

CLC number: 34D20

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AIMS Mathematics
Pages 257-269

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Cite this article:
You W, Wang T. Master-slave synchronization for uncertain Markov jump neural networks with time-delay based on the sliding mode control. AIMS Mathematics, 2024, 9(1): 257-269. https://doi.org/10.3934/math.2024015

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Received: 07 August 2023
Revised: 29 August 2023
Accepted: 12 September 2023
Published: 15 January 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)