Abstract
This paper focuses on the stabilization of the T-S fuzzy fractional rectangular descriptor time-delay system. To convert the fuzzy rectangular time-delay system into the fuzzy square time-delay system, a suitable dynamic compensator of proportional and derivative type is constructed, and the admissibility of the resultant square closed-loop system is enough to guarantee the stabilization of the nonlinear rectangular descriptor time-delay system. A sufficient condition is derived to ensure the stabilization for the considered system and the dynamic compensator parameters can be computed by solving the corresponding linear matrix inequalities (LMIs). A numerical example is provided to manifest the theoretical result.