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Positivity and Stability Analysis of T–S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays | IEEE Journals & Magazine | IEEE Xplore

Positivity and Stability Analysis of T–S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays


Abstract:

This work focuses on the stability analysis of positive Takagi–Sugeno (T–S) fuzzy descriptor systems with time-varying delays. An equivalent augmented system is construct...Show More

Abstract:

This work focuses on the stability analysis of positive Takagi–Sugeno (T–S) fuzzy descriptor systems with time-varying delays. An equivalent augmented system is constructed to investigate the positivity and stability of T–S fuzzy descriptor time-delay systems. By using this transformed system, a necessary and sufficient positivity condition is first derived for systems, which can be verified by linear programming (LP). Then, based on the positivity of T–S fuzzy descriptor systems, a sufficient condition is put forward for the asymptotic stability of systems with bounded and unbounded time-varying delays. Finally, several examples are provided to show the effectiveness of the obtained results.
Published in: IEEE Transactions on Cybernetics ( Volume: 52, Issue: 11, November 2022)
Page(s): 11649 - 11660
Date of Publication: 24 May 2021

ISSN Information:

PubMed ID: 34029203

Funding Agency:


References

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