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Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology

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  • Ye, Dan
  • Yang, Xiang
  • Su, Lei

Abstract

This paper investigates the problem of fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology. The main purpose is to design a fault-tolerant controller so as to make the resultant closed-loop system is stochastically synchronous in the presence of actuator failures. Some sufficient conditions to ensure the presence of the controller are obtained by constructing a mode-dependent Lyapunov–Krasovskii functional and employing some novel inequalities. Based on these conditions, a clear expression for the desired controller is given by using a simple matrix decoupling method. Finally, a simulation example is given to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Ye, Dan & Yang, Xiang & Su, Lei, 2017. "Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 36-48.
    • Handle: RePEc:eee:apmaco:v:312:y:2017:i:c:p:36-48
    DOI: 10.1016/j.amc.2017.05.008
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    Cited by:

    1. Guo, Beibei & Xiao, Yu, 2023. "Intermittent synchronization for multi-link and multi-delayed large-scale systems with semi-Markov jump and its application of Chua’s circuits," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Xia, ZeLiang & He, Shuping, 2022. "Finite-time asynchronous H∞ fault-tolerant control for nonlinear hidden markov jump systems with actuator and sensor faults," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    3. Guo, Beibei & Xiao, Yu & Zhang, Chiping & Zhao, Yong, 2020. "Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Ye, Dan & Li, Xiehuan, 2020. "Event-triggered fault detection for continuous-time networked polynomial-fuzzy-model-based systems," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    5. Peng, Zhinan & Hu, Jiangping & Shi, Kaibo & Luo, Rui & Huang, Rui & Ghosh, Bijoy Kumar & Huang, Jiuke, 2020. "A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Sakthivel, R. & Joby, Maya & Wang, Chao & Kaviarasan, B., 2018. "Finite-time fault-tolerant control of neutral systems against actuator saturation and nonlinear actuator faults," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 425-436.
    7. Li, Lei & Qi, Wenhai & Chen, Xiaoming & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Stability analysis and control synthesis for positive semi-Markov jump systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 363-375.
    8. Gu, Yang & Shen, Mouquan & Ren, Yuesheng & Liu, Hongxia, 2020. "H∞ finite-time control of unknown uncertain systems with actuator failure," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    9. Chen, Feng & Chen, Yuming & Zhu, Quanxin & Zhang, Qimin, 2023. "Stability of stochastic systems with semi-Markovian switching and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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