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Robust stability of uncertain singular time-delay systems via LFT approach

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  • Shin-Ju Chen
  • Lin-Goei Shiau

Abstract

The robust stability problem of continuous-time singular systems with multiple state delays and bounded parametric uncertainties is considered. Both commensurate and non-commensurate delays are investigated. On the basis of the linear fractional transformations (LFTs) framework and μ-analysis, a systematic approach is derived to convert the robustness problem to a robust nonsingularity problem. Some explicit conditions are proposed to guarantee the uncertain singular time-delay system being regular, impulse-free and stable independent of delay. Two illustrative examples are given to show the feasibility of the proposed technique.

Suggested Citation

  • Shin-Ju Chen & Lin-Goei Shiau, 2011. "Robust stability of uncertain singular time-delay systems via LFT approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 31-39.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:31-39
    DOI: 10.1080/00207720903494676
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