首先证明了一个线性时变系统的稳定性定理.基于此定理和模糊TS模型给出一类模糊系统的辨识和稳定性分析.与原有结果相比,本文提出的设计方法充分运用语言信息并减小了计算时间,有效地克服了现有方法对各个子系统寻找公共正定矩阵的困难及重复进行辨识引起的浪费;取消了一些不必要的假设,因而适用范围更广,操作简便. Firstly, the stability theorem of a linear time-varying system is proved. Based on this theorem and the fuzzy TS model, the identification and stability analysis of a class of fuzzy systems are given. Compared with the original results, the proposed design method makes full use of linguistic information The computational time is reduced, the difficulty of finding the common positive definite matrix for each subsystem by the existing methods and the waste caused by repeated identification are overcome. Some unnecessary assumptions are eliminated, so the scope of application is more extensive and the operation is simple.