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Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems

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  • Li, Yuanen
  • Zhang, Huasheng
  • Zhang, Tingting
  • Geng, Han

Abstract

This paper considers the interval stability/stabilization as well as the H∞-performance constrained by convergence rate of the linear impulsive stochastic systems (LISSs). Firstly, based on the relationship between the system pole configuration and the system performance, a sufficient condition for the distribution of the system eigenvalues in a specific region is given, i.e., a new criterion for the interval stability/stabilization of LISSs. Meanwhile, a new algorithm is designed to precisely control the convergence speed of the target system by combining the interval stabilization method. In addition, an H∞ control criterion constrained by the convergence rate of the system is also proposed. Finally, the effectiveness and applicability of the method are verified by numerical examples.

Suggested Citation

  • Li, Yuanen & Zhang, Huasheng & Zhang, Tingting & Geng, Han, 2023. "Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    • Handle: RePEc:eee:apmaco:v:437:y:2023:i:c:s0096300322006269
    DOI: 10.1016/j.amc.2022.127552
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    References listed on IDEAS

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    1. Zhang, Huasheng & Zhuang, Guangming & Sun, Wei & Li, Yongmin & Lu, Junwei, 2020. "pth moment asymptotic interval stability and stabilization of linear stochastic systems via generalized H-representation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Chang, Xiao-Heng & Li, Zhi-Min & Xiong, Jun & Wang, Yi-Ming, 2017. "LMI approaches to input and output quantized feedback stabilization of linear systems," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 162-175.
    3. Song, Jia-Sheng & Chang, Xiao-Heng, 2020. "H∞ controller design of networked control systems with a new quantization structure," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    4. Liu, Bin & Hill, David J. & Sun, Zhijie, 2018. "Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 124-140.
    5. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
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