In this paper, the exponential stability with guaranteed domain of attraction (DA) is studied for a class of uncertain Takagi-Sugeno (T-S) fuzzy time-varying systems. Based on the time-domain approach, a simple criterion is derived to guarantee the exponential stability of such systems. An estimate of the exponential decay rate of such stable systems is also presented. Besides, we will provide a simple way to calculate the guaranteed DA by finding the unique positive root of a polynomial equation. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of the obtained result.

exponential stability, domain of attraction, Takagi-Sugeno (T-S) fuzzy systems, exponential decay rate, discrete-time.