In this paper, the problem of T-S fuzzy systems with mixed time delays is considered. A new Lyapunov function is designed by employing a switching idea, which depends on both integral variables and membership functions. Thus, the information of the time derivative of membership functions can also be used. Compared with the existing results without the information of membership function, the results in this paper are less conservative. Besides, the requirement of positive qualitative of match matrix in the Lyapunov function is also relaxed. Then, a switching controller is designed to guarantee the stability of the closed-loop system. At last, two examples are given to illustrate the feasibility and validity of the design and analysis.

中文翻译：

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具有混合时滞的 TS 模糊系统的稳定性

本文考虑了具有混合时滞的TS模糊系统问题。采用依赖于积分变量和隶属函数的切换思想设计了一个新的李雅普诺夫函数。因此，也可以使用隶属函数的时间导数信息。与现有的没有隶属函数信息的结果相比，本文的结果不那么保守。此外，Lyapunov 函数中对匹配矩阵正定性的要求也放宽了。然后设计了一个开关控制器来保证闭环系统的稳定性。最后通过两个实例说明设计分析的可行性和有效性。