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The main objective of this study is to investigate the stability of descriptor systems with time-varying delays. The analysis is performed using an input-output approach based on a three-term approximation model. This paper presents a new condition formulated as a linear matrix inequality (LMI), which is validated through a numerical example provided towards the end. This example illustrate the effectiveness and validity of the proposed theorem, offering comparisons with existing results from the literature.

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A Novel Stability Approach for Time Delayed Descriptor Systems: SSG Technique and Three-Term Input-Output Approximation

  • 会议论文

  • 发表日期：

    2026年

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  • Kawtar El Haouti,
  • Salaheddine Mokhlis,
  • Hicham El Aiss,
  • Adil Barra,
  • Bahloul Bensassi

摘要

The main objective of this study is to investigate the stability of descriptor systems with time-varying delays. The analysis is performed using an input-output approach based on a three-term approximation model. This paper presents a new condition formulated as a linear matrix inequality (LMI), which is validated through a numerical example provided towards the end. This example illustrate the effectiveness and validity of the proposed theorem, offering comparisons with existing results from the literature.