IEEE Trans Cybern. 2019 Apr;49(4):1551-1556. doi: 10.1109/TCYB.2018.2801795. Epub 2018 Feb 19.
In this technical paper, a new Lyapunov-Krasovskii functional (LKF) is designed to study the stability of continuous-time Takagi-Sugeno fuzzy systems with time-varying delay. The integrand of the LKF depends on integral variable and time t which can help to reduce the number of linear matrix inequalities (LMIs). Then, a new stability criterion is derived by analyzing the sign of the time derivatives of membership functions. Compared with the existing results, larger delay bounds can be obtained by applying the new criterion. In the end, two examples show the effectiveness of the conclusions.
在这篇技术论文中，设计了一个新的李雅普诺夫-克拉索夫斯基泛函（LKF）来研究时变时滞连续时间 Takagi-Sugeno 模糊系统的稳定性。LKF 的积分项取决于积分变量和时间 t，这有助于减少线性矩阵不等式（LMIs）的数量。然后，通过分析隶属函数的时间导数的符号，推导出一个新的稳定性准则。与现有结果相比，应用新准则可以获得更大的时滞界。最后，两个例子表明了结论的有效性。
