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Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality

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  • Huichao Lin
  • Jiuxiang Dong

Abstract

The stability problem of T–S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T–S fuzzy systems with time-varying delays. Firstly, a parameter-dependent reciprocally convex inequality is proposed to improve the estimation accuracy of reciprocal convex terms. Secondly, based on the line-integral Lyapunov–Krasovskii (L–K) function and the developed parameter-dependent reciprocally convex inequality, a less conservative stability condition is established. Finally, two examples are used to verify the feasibility and superiority of the proposed method.

Suggested Citation

  • Huichao Lin & Jiuxiang Dong, 2023. "Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(6), pages 1289-1298, April.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1289-1298
    DOI: 10.1080/00207721.2023.2172327
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