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Sampled-data-based stability and stabilization of Lurie systems

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  • Wang, Wei
  • Liang, Jin-Ming
  • Zeng, Hong-Bing

Abstract

This paper discusses the sampled-data control problem of Lurie systems. First, a sufficient condition is presented to ensure system stability with a predefined controller gain. This condition is then extended to design a state-feedback controller (SFC) that stabilizes the systems. Additionally, the paper introduces a cone complementary linearization iteration (CCLI) algorithm with an enhanced iteration condition to obtain the controller gain. Numerical examples demonstrate that the proposed method surpasses existing methods in the literature.

Suggested Citation

  • Wang, Wei & Liang, Jin-Ming & Zeng, Hong-Bing, 2025. "Sampled-data-based stability and stabilization of Lurie systems," Applied Mathematics and Computation, Elsevier, vol. 501(C).
    • Handle: RePEc:eee:apmaco:v:501:y:2025:i:c:s0096300325001821
    DOI: 10.1016/j.amc.2025.129455
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    References listed on IDEAS

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    1. Huang, Yao & Bao, Haibo, 2020. "Master-slave synchronization of complex-valued delayed chaotic Lur’e systems with sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    2. Zeng, Hong-Bing & Liu, Xiao-Gui & Wang, Wei, 2019. "A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 1-8.
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