This paper is concerned with the problem of the extended dissipativity analysis for singular Takagi–Sugeno (T–S) fuzzy system with time delay. By proposing two improved techniques, a sufficient criterion is derived in terms of linear matrix inequalities (LMIs), which ensures the considered system is admissible and extended dissipative. Compared with some existing works, an unnecessary constraint on Lyapunov matrix is relaxed. A numerical example is illustrated to show the effectiveness of the proposed result.

中文翻译：

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通过两种改进技术对具有时滞的奇异 Takagi-Sugeno 模糊系统进行扩展耗散分析

本文研究的是具有时滞的奇异Takagi-Sugeno (T-S)模糊系统的扩展耗散分析问题。通过提出两种改进的技术，就线性矩阵不等式 (LMI) 而言，推导出了一个充分的标准，这确保了所考虑的系统是可接受的和扩展的耗散。与现有的一些工作相比，放松了对李雅普诺夫矩阵的不必要约束。一个数值例子说明了所提出的结果的有效性。