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Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality

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  • Cheng Gong
  • Guopu Zhu
  • Yan Shi

Abstract

This paper investigates the problem of exponential stability analysis of linear time-delay systems. First, based on the Gram-Schmidt-based integral inequality and the Taylor expansion of exponential function, we develop a new weighted multiple integral inequality called Taylor expansion-based weighted integral inequality. Second, a new Lyapunov-krasovskii functional is constructed, and then, with the help of the Taylor expansion-based inequality, a new exponential stability criterion is established in terms of linear matrix inequality. Finally, numerical examples are presented to show the effectiveness of the newly established stability criterion.

Suggested Citation

  • Cheng Gong & Guopu Zhu & Yan Shi, 2019. "Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(4), pages 807-816, March.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:807-816
    DOI: 10.1080/00207721.2019.1573272
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