In this paper, a novel asymmetric Lyapunov–Krasovskii functional (LKF) method for the stability of Takagi–Sugeno (T–S) fuzzy systems with time-varying delay is proposed. This asymmetric LKF method is shown to effectively reduce conservatism compared with symmetric LKF method. For further improving the stability criterion, the method is combined with the improved membership-function-dependent technique. Two numerical examples are given to demonstrate the advantages of our method and stability criterion numerically.

中文翻译：

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时变时滞T-S模糊系统稳定性的一种新的非对称Lyapunov-Krasovskii泛函方法

在本文中，提出了一种新的非对称 Lyapunov-Krasovskii 泛函 (LKF) 方法，用于具有时变延迟的 Takagi-Sugeno (T-S) 模糊系统的稳定性。与对称 LKF 方法相比，这种非对称 LKF 方法被证明可以有效地降低保守性。为了进一步改进稳定性判据，该方法与改进的隶属函数相关技术相结合。给出了两个数值例子，以数值方式证明我们的方法和稳定性准则的优点。