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Input-to-state stabilization of networked impulsive systems under communication constraints: A refined Lyapunov functional

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  • Yao, Meng
  • Wei, Guoliang
  • Guo, Xinchen

Abstract

In this article, the protocol-based stabilization issue is considered for a class of continuous-time networked impulsive systems with external noises. For the purpose of saving communication cost, the Round-Robin communication protocol is implemented to dispatch the data transmission. Under this kind of communication protocol, the transmission order of sensor nodes is predefined. And, only the selected sensor nodes are able to get the privileges to visit the communication network at sampling instants. In addition, because of the network-induced transmission delays, the addressed system becomes an impulsive time-delayed one. For the protocol-induced system, sufficient conditions are obtained based on a refined Lyapunov functional to ensure the so-called input-to-state stability. Moreover, a suitable algorithm is developed to calculate the corresponding controller gains. In the end, two simulation examples are proposed to validate the effectiveness of our designed control strategy.

Suggested Citation

  • Yao, Meng & Wei, Guoliang & Guo, Xinchen, 2024. "Input-to-state stabilization of networked impulsive systems under communication constraints: A refined Lyapunov functional," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    • Handle: RePEc:eee:apmaco:v:463:y:2024:i:c:s0096300323005350
    DOI: 10.1016/j.amc.2023.128366
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    References listed on IDEAS

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    1. Peilin Yu & Feiqi Deng & Fangzhe Wan & Xiongding Liu, 2022. "pth moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(15), pages 3145-3153, November.
    2. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    3. Li, Xiaodi & Yang, Xueyan & Huang, Tingwen, 2019. "Persistence of delayed cooperative models: Impulsive control method," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 130-146.
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