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This paper studies FTS (finite-time stability) for discrete-time linear systems with time-varying delay. A novel approximation of the single summation that appears in the LKF (Lyapunov-Krasovskii functional) is studied using an innovative Free-Matrix-Based-Integral (FMBI) inequality. This has led to proposing new conditions formulated as LMIs that ensure FTS. Finally, a numerical example shows the method’s efficacy.

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Finite-Time Stability Analysis of Discrete-Time Linear Systems Subject to Time-Varying Delay Using a Novel Summation Inequality

  • 会议论文

  • 发表日期：

    2025年

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  • Nabil El Fezazi,
  • Mohamed Fahim,
  • El Houssine Aouchicha,
  • Soufiane Ait Bousselham,
  • Said Idrissi,
  • Teresa Alvarez

摘要

This paper studies FTS (finite-time stability) for discrete-time linear systems with time-varying delay. A novel approximation of the single summation that appears in the LKF (Lyapunov-Krasovskii functional) is studied using an innovative Free-Matrix-Based-Integral (FMBI) inequality. This has led to proposing new conditions formulated as LMIs that ensure FTS. Finally, a numerical example shows the method’s efficacy.