Positivity and Stability Analysis of T–S Fuzzy Descriptor Systems With Bounded and Unbounded Time-Varying Delays
研究了正Takagi-Sugeno模糊描述系统在时变时滞下的稳定性，通过构造增广系统推导了正性的充要条件，并给出了有界和无界时滞下渐近稳定的充分条件。
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.