Positivity and Stability Analysis of T-S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays.
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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.
author list (cited authors)
Cui, Y., Feng, H., Zhang, W., Shu, Z., & Huang, T.
complete list of authors
Cui, Yukang||Feng, Hao||Zhang, Wei||Shu, Zhan||Huang, Tingwen