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Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation

Author

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  • Huang, Yi-Bo
  • Song, Zhihuan
  • Yu, Wei

Abstract

In the existing papers considering the stability analysis of discrete-time systems with distributed delays via the Lyapunov-Krasovskii functional (LKF) method, the delay kernels are normally restricted to be non-negative. In this paper, we aim to remove such a restriction and deal with the stability analysis of systems with arbitrary delay kernels. For this purpose, a kernel-related summation inequality is first constructed. Then, a stability condition is derived based on the proposed inequality and a model transformation. Finally, two numerical examples are presented to show that the proposed stability condition not only has a wider scope of application and is less conservative than the existing ones.

Suggested Citation

  • Huang, Yi-Bo & Song, Zhihuan & Yu, Wei, 2024. "Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    • Handle: RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002121
    DOI: 10.1016/j.amc.2024.128740
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