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Finite-Time H \(\infty \) Synchronization Control of Piecewise Homogeneous Markov Jumping T-S Fuzzy Discrete Complex Networks Subject to Hybrid Attacks and Uncertainty

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Proceedings of 2023 Chinese Intelligent Systems Conference (CISC 2023)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1089))

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Abstract

In this paper, a non-fragile fuzzy control method is proposed to solve the common parameter uncertainty phenomenon in complex networks and the security threat caused by network attacks. A T-S fuzzy discrete complex network model following piecewise homogeneous Markov process is constructed on the basis of the study of Markov jump models with aligned times. The combined effects of spoofing attacks and denial of service attacks are considered when processing controller signals. By analyzing the Lyapunov-Krasovskii functional with dual modal correlation, we establish sufficient conditions for finite time boundedness of the synchronization error system, and then verify the controller’s effectiveness in the attacked Lorenz chaotic system.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant 62263005, Guangxi Natural Science Foundation under Grant 2020GXNSFDA238029, Laboratory of AI and Information Processing (Hechi University), Education Department of Guangxi Zhuang Autonomous Region under Grant 2022GXZDSY004, Innovation Project of Guangxi Graduate Education YCSW2023298, Innovation Project of GUET Graduate Education under Grant 2023YCXS124.

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Authors and Affiliations

  1. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, 541004, Guangxi, China

    Xiru Wu, Binlei Zhang, Yuchong Zhang & Yuqiu Zhang

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  1. Xiru Wu
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  2. Binlei Zhang
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  3. Yuchong Zhang
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  4. Yuqiu Zhang
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Corresponding author

Correspondence to Xiru Wu .

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Editors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    Yingmin Jia

  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

  3. School of Mechanical Engineering and Automation, Beihang University, Beijing, China

    Yongling Fu

  4. Ningbo Institute of Materials Technology&Engineering, Chinese Academy of Sciences, Ningbo, Zhejiang, China

    Jiqiang Wang

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Wu, X., Zhang, B., Zhang, Y., Zhang, Y. (2023). Finite-Time H \(\infty \) Synchronization Control of Piecewise Homogeneous Markov Jumping T-S Fuzzy Discrete Complex Networks Subject to Hybrid Attacks and Uncertainty. In: Jia, Y., Zhang, W., Fu, Y., Wang, J. (eds) Proceedings of 2023 Chinese Intelligent Systems Conference. CISC 2023. Lecture Notes in Electrical Engineering, vol 1089. Springer, Singapore. https://doi.org/10.1007/978-981-99-6847-3_24

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