This paper presents new stability and stabilisation conditions in the form of linear matrix inequalities for discrete-time Takagi-Sugeno fuzzy systems; they are derived considering a class of non-quadratic Lyapunov functions with multi-parametric non-monotonic terms, which significantly enhances the feasibility set of current state-of-the-art results. In addition, extensions to cope with the disturbance attenuation control problem are included. Benchmark numerical examples are provided to illustrate the effectiveness of the proposed approach.

中文翻译：

---

用于Takagi-Sugeno系统分析和合成的广义非单调Lyapunov函数

本文以离散Takagi-Sugeno模糊系统的线性矩阵不等式形式给出了新的稳定性和镇定条件。得出它们时要考虑一类具有多参数非单调项的非二次Lyapunov函数，这大大增强了当前最新结果的可行性。另外，包括扩展以应对干扰衰减控制问题。提供了基准数字示例，以说明所提出方法的有效性。