When using fuzzy Lyapunov functions for continuous-time Takagi-Sugeno fuzzy systems, it is common to have to deal with the membership functions’ time derivative. Several upper-bound inequalities have been proposed in the literature in order to deal with these derivatives in a Linear Matrix Inequality setting. In this article, we extend and compare some of these inequalities in the context of generating the largest estimate of the domain of attraction while synthesizing non-PDC control laws.