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Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays

Author

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  • Xia, Weifeng
  • Xu, Shengyuan
  • Lu, Junwei
  • Li, Yongmin
  • Chu, Yuming
  • Zhang, Zhengqiang

Abstract

This paper focus on the event-triggered filter design problem for delayed discrete-time Markovian jump systems. Firstly, a new mode-dependent Lyapunov-Krasovskii functional is introduced, where more than one Lyapunov matrices are dependent on jumping modes. Secondly, sufficient conditions are established by employing the Lyapunov stability theory together with Wirtinger-based inequality, under which the filtering error system is stochastically stable with strict dissipative. Thirdly, the co-design scheme of the filter parameters and event-triggered matrices is proposed. Finally, two numerical examples are given to show the usefulness of the proposed scheme.

Suggested Citation

  • Xia, Weifeng & Xu, Shengyuan & Lu, Junwei & Li, Yongmin & Chu, Yuming & Zhang, Zhengqiang, 2021. "Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320305841
    DOI: 10.1016/j.amc.2020.125630
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    References listed on IDEAS

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    1. Wang, Jing & Liang, Kun & Huang, Xia & Wang, Zhen & Shen, Hao, 2018. "Dissipative fault-tolerant control for nonlinear singular perturbed systems with Markov jumping parameters based on slow state feedback," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 247-262.
    2. Shao, Hanyong & Zhang, Zhengqiang, 2015. "Delay-dependent state feedback stabilization for a networked control model with two additive input delays," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 748-758.
    3. Tan, Yushun & Fei, Shumin & Liu, Jinliang & Zhang, Dan, 2019. "Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 482-496.
    4. Weifeng Xia & Qian Ma & Junwei Lu & Guangming Zhuang, 2017. "Reliable filtering with extended dissipativity for uncertain systems with discrete and distributed delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2644-2657, September.
    5. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
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    Cited by:

    1. Sun, Meng & Zhuang, Guangming & Xia, Jianwei & Wang, Yanqian & Chen, Guoliang, 2022. "Stochastic admissibility and H∞ output feedback control for singular Markov jump systems under dynamic measurement output event-triggered strategy," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Zou, Cong & Li, Bing & Liu, Feiyang & Xu, Bingrui, 2022. "Event-Triggered μ-state estimation for Markovian jumping neural networks with mixed time-delays," Applied Mathematics and Computation, Elsevier, vol. 425(C).

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