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 MoreMetadata
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)