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Our research deals with the FTS (Finite-Time Stability) problem for linear and delay-dependent systems using a novel integral inequality and a LKF (Lyapunov-Krasovskii Functional). Then, sufficient conditions are provided to ensure the FTS introducing some free-weighting matrices. The delays (varying in time) are differentiable and their derivatives are bounded. The conditions obtained in this paper are specified in terms of linear matrix inequalities (LMIs) to achieve the desired results. The method is explained with an example, the effectiveness is clearly stated.

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Finite-Time Stability Analysis of Delayed Systems Using a Novel Integral Inequality Approach

  • 会议论文

  • 发表日期：

    2025年

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  • El Houssine Aouchicha,
  • Nabil El Fezazi,
  • Mohamed Fahim,
  • Amine El Fathi,
  • Nabil El Akchioui,
  • Teresa Alvarez

摘要

Our research deals with the FTS (Finite-Time Stability) problem for linear and delay-dependent systems using a novel integral inequality and a LKF (Lyapunov-Krasovskii Functional). Then, sufficient conditions are provided to ensure the FTS introducing some free-weighting matrices. The delays (varying in time) are differentiable and their derivatives are bounded. The conditions obtained in this paper are specified in terms of linear matrix inequalities (LMIs) to achieve the desired results. The method is explained with an example, the effectiveness is clearly stated.