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Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks

Author

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  • Liu, Jinliang
  • Xia, Jilei
  • Tian, Engang
  • Fei, Shumin

Abstract

This paper investigates the problem of H∞ filter design for neural networks with hybrid triggered scheme and deception attacks. In order to make full use of the limited network resources, a hybrid triggered scheme is introduced, in which the switching between the time triggered scheme and the event triggered scheme obeys Bernoulli distribution. By considering the effect of hybrid triggered scheme and deception attacks, a mathematical model of H∞ filtering error system is constructed. The sufficient conditions that can ensure the stability of filtering error system are given by using Lyapunov stability theory and linear matrix inequality (LMI) techniques. Moreover, the explicit expressions are provided for the designed filter parameters that is in terms of LMIs. Finally, a numerical example is employed to illustrate the design method.

Suggested Citation

  • Liu, Jinliang & Xia, Jilei & Tian, Engang & Fei, Shumin, 2018. "Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 158-174.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:158-174
    DOI: 10.1016/j.amc.2017.09.007
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    References listed on IDEAS

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    1. Lin, Xiangze & Li, Xueling & Li, Shihua & Zou, Yun, 2016. "Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 25-40.
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    Cited by:

    1. Wu, Yuyan & Cheng, Jun & Zhou, Xia & Cao, Jinde & Luo, Mengzhuo, 2021. "Asynchronous filtering for nonhomogeneous Markov jumping systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Li, Qian & Liu, Xinzhi & Zhu, Qingxin & Zhong, Shouming & Zhang, Dian, 2019. "Distributed state estimation for stochastic discrete-time sensor networks with redundant channels," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 230-246.
    3. Huang, Xin & Dong, Jiuxiang, 2020. "A Robust Dynamic Compensation Approach for Cyber-Physical Systems Against Multiple Types of Actuator Attacks," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    4. Zhang, Ziwei & Chen, Zongjie & Sheng, Zhang & Li, Dan & Wang, Jing, 2022. "Static output feedback secure synchronization control for Markov jump neural networks under hybrid cyber-attacks," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    5. Feng, Zongying & Shao, Hanyong & Shao, Lin, 2020. "Further results on event-triggered H∞ networked control for neural networks with stochastic cyber-attacks," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    6. Wu, Xifen & Bao, Haibo, 2023. "H∞ state estimation for multiplex networks with randomly occurring sensor saturations," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    7. Zeng, Pengyu & Deng, Feiqi & Gao, Xiaobin & Liu, Xiaohua, 2021. "Sampled-data resilient H∞ control for networked stochastic systems subject to multiple attacks," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    8. Fan, Ming-Can & Wu, Yue, 2018. "Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 274-286.
    9. Lü, Shao-Yu & Jin, Xiao-Zheng & Wang, Hai & Deng, Chao, 2021. "Robust adaptive estimation and tracking control for perturbed cyber-physical systems against denial of service," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    10. Li, Xin & Wei, Guoliang & Ding, Derui, 2021. "Distributed resilient interval estimation for sensor networks under aperiodic denial-of-service attacks and adaptive event-triggered protocols," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    11. Lou, Fangzheng & Li, Feng & Wang, Jing & Wang, Yan, 2022. "Reliable output feedback control for persistent dwell-time switched piecewise-affine systems against deception attacks," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    12. Ma, Yan & Zhang, Zhenzhen & Yang, Li & Chen, Hao & Zhang, Yihao, 2022. "A resilient optimized dynamic event-triggered mechanism on networked control system with switching behavior under mixed attacks," Applied Mathematics and Computation, Elsevier, vol. 430(C).

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