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Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay

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  • Hao Wang
  • Zhaoliang Sheng
  • Chong Lin
  • Bing Chen

Abstract

In this paper, the admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay are studied based on the asymmetric Lyapunov–Krasovskii functional method. The criteria for admissibility analysis and stabilisation are given by using linear matrix inequality, and the conservatism is reduced by combining the membership-function-dependent method. Finally, three examples are given to verify the advantages of the method.

Suggested Citation

  • Hao Wang & Zhaoliang Sheng & Chong Lin & Bing Chen, 2022. "Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(14), pages 2998-3009, October.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2998-3009
    DOI: 10.1080/00207721.2022.2067909
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    Cited by:

    1. Jeong, Juyoung & Lim, Yongdo & Parivallal, Arumugam, 2023. "An asymmetric Lyapunov-Krasovskii functional approach for event-triggered consensus of multi-agent systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    2. Wen-Jer Chang & Yu-Min Huang & Yann-Horng Lin, 2023. "Observer-Based Fuzzy Control of Uncertain Nonlinear Singular Systems under Multi-Performance Requirements," Mathematics, MDPI, vol. 11(12), pages 1-20, June.

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