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Research Article | Open Access

Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks

Chantapish Zamart1Thongchai Botmart1( )Wajaree Weera1Prem Junsawang2
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
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Abstract

This article investigates the finite-time decentralized event-triggered feedback control problem for generalized neural networks (GNNs) with mixed interval time-varying delays and cyber-attacks. A decentralized event-triggered method reduces the network transmission load and decides whether sensor measurements should be sent out. The cyber-attacks that occur at random are described employing Bernoulli distributed variables. By the Lyapunov-Krasovskii stability theory, we apply an integral inequality with an exponential function to estimate the derivative of the Lyapunov-Krasovskii functionals (LKFs). We present new sufficient conditions in the form of linear matrix inequalities. The main objective of this research is to investigate the stochastic finite-time boundedness of GNNs with mixed interval time-varying delays and cyber-attacks by providing a decentralized event-triggered method and feedback controller. Finally, a numerical example is constructed to demonstrate the effectiveness and advantages of the provided control scheme.

CLC number: 34D20, 37C75, 39A30

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AIMS Mathematics
Pages 22274-22300

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Cite this article:
Zamart C, Botmart T, Weera W, et al. Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks. AIMS Mathematics, 2023, 8(9): 22274-22300. https://doi.org/10.3934/math.20231136

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Received: 07 May 2023
Revised: 09 June 2023
Accepted: 26 June 2023
Published: 15 September 2023
©2023 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)