This paper investigates the stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with discrete and distributed time-varying delays. First, pth moment global exponential stability (p≥1) of the addressed delayed fuzzy systems is considered by virtue of the comparison approach and inequality techniques. The developed algebraic criteria include some existing outcomes as special cases. Second, global exponential stabilization of the underlying delayed fuzzy systems is performed under a fuzzy state feedback controller. Third, considering that only a few studies have been concerned with finite-time stabilization of T-S fuzzy systems, by employing the comparison strategy and a nonlinear controller, finite-time stabilization of the nominated delayed fuzzy systems is presented. The result obtained herein establishes a general theoretical framework to analyze the finite-time behavior of delayed T-S fuzzy systems. Finally, simulation examples are conducted to illustrate the validity of the results.

中文翻译：

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混合时变时滞Takagi__ugeno模糊系统的稳定性和稳定性


本文研究了具有离散和分布式时变时滞的 Takagi-Sugeno (TS) 模糊系统的稳定性和稳定性。首先，利用比较方法和不等式技术来考虑所解决的延迟模糊系统的 p 阶矩全局指数稳定性（p≥1）。制定的代数标准包括一些作为特殊情况的现有结果。其次，底层延迟模糊系统的全局指数稳定是在模糊状态反馈控制器下执行的。第三，考虑到只有少数研究涉及TS模糊系统的有限时间稳定，通过采用比较策略和非线性控制器，提出了指定的延迟模糊系统的有限时间稳定。本文获得的结果建立了分析延迟 TS 模糊系统的有限时间行为的通用理论框架。最后通过仿真算例说明了结果的有效性。