Stability Analysis of Time-Varying Delay T-S Fuzzy Systems via Quadratic-Delay-Product Method

被引：12
|
作者：
Qiu, Yunfei [1 ,2 ]
Park, Ju H. H. [2 ]
Hua, Changchun [1 ]
Wang, Xijuan [2 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[2] Yeungnam Univ, Dept Elect Engn, Gyongsan 38541, South Korea
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2023年 / 31卷 / 01期
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
Linear matrix inequality; quadratic-delay-product method; T-S fuzzy systems; time-varying delay; MODEL TRANSFORMATION; DEPENDENT STABILITY; NEURAL-NETWORKS; INEQUALITY; CRITERIA;
D O I：
10.1109/TFUZZ.2022.3182786
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The stability of Takagi-Sugeno (T-S) fuzzy systems with time-varying delay is investigated in this article. First of all, a novel Lyapunov-Krasovskii functional (LKF) is proposed by fully utilizing single integral polynomial-delay-product terms and membership-function-dependent matrices, where more delay information is considered. Second, by introducing negative integral estimation inequalities and polynomial inequality, the estimation gap of derivatives is further decreased. As consequence, the criterion with less conservatism is presented. Finally, the examples are utilized for verifying the validity of the stability approach.
引用
收藏
页码：129 / 137
页数：9
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