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

Huichao Lin and Jiuxiang Dong

International Journal of Systems Science, 2023, vol. 54, issue 6, 1289-1298

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.

Date: 2023
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DOI: 10.1080/00207721.2023.2172327

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