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

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 m...

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Main Authors: Chantapish Zamart, Thongchai Botmart, Wajaree Weera, Prem Junsawang
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231136?viewType=HTML
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author Chantapish Zamart
Thongchai Botmart
Wajaree Weera
Prem Junsawang
author_facet Chantapish Zamart
Thongchai Botmart
Wajaree Weera
Prem Junsawang
author_sort Chantapish Zamart
collection DOAJ
description 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.
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spelling doaj.art-70124582822f4563b0c89f1d09821c4d2023-07-27T01:26:27ZengAIMS PressAIMS Mathematics2473-69882023-07-0189222742230010.3934/math.20231136Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacksChantapish Zamart0Thongchai Botmart1Wajaree Weera2Prem Junsawang3 1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand 1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand2. Department of Statistics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, ThailandThis 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.https://www.aimspress.com/article/doi/10.3934/math.20231136?viewType=HTMLgeneralized neural networksfinite-time stabilitytime-varying delaysfeedback controlcyber-attacksdecentralized event-triggered scheme
spellingShingle Chantapish Zamart
Thongchai Botmart
Wajaree Weera
Prem Junsawang
Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
AIMS Mathematics
generalized neural networks
finite-time stability
time-varying delays
feedback control
cyber-attacks
decentralized event-triggered scheme
title Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
title_full Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
title_fullStr Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
title_full_unstemmed Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
title_short Finite-time decentralized event-triggered feedback control for generalized neural networks with mixed interval time-varying delays and cyber-attacks
title_sort finite time decentralized event triggered feedback control for generalized neural networks with mixed interval time varying delays and cyber attacks
topic generalized neural networks
finite-time stability
time-varying delays
feedback control
cyber-attacks
decentralized event-triggered scheme
url https://www.aimspress.com/article/doi/10.3934/math.20231136?viewType=HTML
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