Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay

This paper investigates the problem of adaptive event-triggered synchronization for uncertain FNNs subject to double deception attacks and time-varying delay. During network transmission, a practical deception attack phenomenon in FNNs should be considered; that is, we investigated the situation in...

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Main Authors: Zhuan Shen, Fan Yang, Jing Chen, Jingxiang Zhang, Aihua Hu, Manfeng Hu
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/10/1291
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author Zhuan Shen
Fan Yang
Jing Chen
Jingxiang Zhang
Aihua Hu
Manfeng Hu
author_facet Zhuan Shen
Fan Yang
Jing Chen
Jingxiang Zhang
Aihua Hu
Manfeng Hu
author_sort Zhuan Shen
collection DOAJ
description This paper investigates the problem of adaptive event-triggered synchronization for uncertain FNNs subject to double deception attacks and time-varying delay. During network transmission, a practical deception attack phenomenon in FNNs should be considered; that is, we investigated the situation in which the attack occurs via both communication channels, from S-C and from C-A simultaneously, rather than considering only one, as in many papers; and the double attacks are described by high-level Markov processes rather than simple random variables. To further reduce network load, an advanced AETS with an adaptive threshold coefficient was first used in FNNs to deal with deception attacks. Moreover, given the engineering background, uncertain parameters and time-varying delay were also considered, and a feedback control scheme was adopted. Based on the above, a unique closed-loop synchronization error system was constructed. Sufficient conditions that guarantee the stability of the closed-loop system are ensured by the Lyapunov-Krasovskii functional method. Finally, a numerical example is presented to verify the effectiveness of the proposed method.
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spelling doaj.art-5d4724ec6dfa4c8794a7a394d50380ed2023-11-22T18:10:45ZengMDPI AGEntropy1099-43002021-09-012310129110.3390/e23101291Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying DelayZhuan Shen0Fan Yang1Jing Chen2Jingxiang Zhang3Aihua Hu4Manfeng Hu5School of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaSchool of Science, Jiangnan University, Wuxi 214122, ChinaThis paper investigates the problem of adaptive event-triggered synchronization for uncertain FNNs subject to double deception attacks and time-varying delay. During network transmission, a practical deception attack phenomenon in FNNs should be considered; that is, we investigated the situation in which the attack occurs via both communication channels, from S-C and from C-A simultaneously, rather than considering only one, as in many papers; and the double attacks are described by high-level Markov processes rather than simple random variables. To further reduce network load, an advanced AETS with an adaptive threshold coefficient was first used in FNNs to deal with deception attacks. Moreover, given the engineering background, uncertain parameters and time-varying delay were also considered, and a feedback control scheme was adopted. Based on the above, a unique closed-loop synchronization error system was constructed. Sufficient conditions that guarantee the stability of the closed-loop system are ensured by the Lyapunov-Krasovskii functional method. Finally, a numerical example is presented to verify the effectiveness of the proposed method.https://www.mdpi.com/1099-4300/23/10/1291uncertain fractional order neural networkadaptive event-triggered schemedouble deception attackstime-varying delay
spellingShingle Zhuan Shen
Fan Yang
Jing Chen
Jingxiang Zhang
Aihua Hu
Manfeng Hu
Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
Entropy
uncertain fractional order neural network
adaptive event-triggered scheme
double deception attacks
time-varying delay
title Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
title_full Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
title_fullStr Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
title_full_unstemmed Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
title_short Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay
title_sort adaptive event triggered synchronization of uncertain fractional order neural networks with double deception attacks and time varying delay
topic uncertain fractional order neural network
adaptive event-triggered scheme
double deception attacks
time-varying delay
url https://www.mdpi.com/1099-4300/23/10/1291
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AT jingchen adaptiveeventtriggeredsynchronizationofuncertainfractionalorderneuralnetworkswithdoubledeceptionattacksandtimevaryingdelay
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