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Asynchronous filtering for nonhomogeneous Markov jumping systems with deception attacks

Author

Listed:
  • Wu, Yuyan
  • Cheng, Jun
  • Zhou, Xia
  • Cao, Jinde
  • Luo, Mengzhuo

Abstract

This paper deals with the problem of asynchronous filtering for nonhomogeneous Markov jumping systems with deception attacks. To describe the nonhomogeneous Markov process, the polytopic-structure-based transition probabilities (TPs) are introduced. Note that TPs are characterized by time-varying property, which cover the time independent TPs as a special case. Added by a hidden Markov model, the asynchronous phenomenon among the original plant, the quantizer and the filter is revealed. By establishing the Lyapunov functional, a sufficient condition with mean square exponentially stable is acquired. Benefit from the matrix inequality decoupling method, the asynchronous filters with less conservative are achieved. Finally, two examples are presented to show the validity of the obtained strategy.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:394:y:2021:i:c:s0096300320307438
    DOI: 10.1016/j.amc.2020.125790
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    References listed on IDEAS

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    1. Cheng, Jun & Zhan, Yang, 2020. "Nonstationary l2−l∞ filtering for Markov switching repeated scalar nonlinear systems with randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    2. Wang, Bo & Cheng, Jun & Zhou, Xia, 2020. "A multiple hierarchical structure strategy to quantized control of Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    3. 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.
    4. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
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    Cited by:

    1. Mei, Zhen & Fang, Ting & Shen, Hao, 2022. "Finite‐time l2−l∞ filtering for persistent dwell‐time switched piecewise‐affine systems against deception attacks," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous H∞ observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. Xie, Lifei & Cheng, Jun & Wang, Hailing & Wang, Jiange & Hu, Mengjie & Zhou, Zhidong, 2022. "Memory-based event-triggered asynchronous control for semi-Markov switching systems," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    4. Xu, Qiyi & Zhang, Ning & Qi, Wenhai, 2023. "Finite-time control for discrete-time nonlinear Markov switching LPV systems with DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    5. Zhang, Ning & Qi, Wenhai & Pang, Guocheng & Cheng, Jun & Shi, Kaibo, 2022. "Observer-based sliding mode control for fuzzy stochastic switching systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    6. Zhu, Fengzeng & Liu, Xu & Peng, Li, 2021. "Adaptive consensus-based distributed H∞ filtering with switching topology subject to partial information on transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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