Robust stability analysis of a class of uncertain neutral T-S fuzzy systems with time delay

被引：0
作者：
Li, Yanjiang [1 ]
Tan, Chong [2 ]
Lv, Jianting [1 ]
Zhang, Xian [1 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Harbin Univ Sci & Technol, Sch Automat, Harbin 150080, Peoples R China
来源：
MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE | 2014年 / 24卷 / 05期
基金：
美国国家科学基金会;
关键词：
H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILIZATION; DESIGN; STATE;
D O I：
10.1017/S0960129513000728
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider the problem of the robust stability of a class of uncertain T-S fuzzy neutral systems with time delay under time-varying parametric uncertainties using the Lyapunov-Krasovskii approach, where the parametric uncertainty is assumed to be norm bounded. By choosing a new Lyapunov-Krasovskii function, we are able to propose less conservative robust stability criteria in terms of linear matrix inequalities (LMIs) such that the uncertain T-S fuzzy neutral system under consideration remains asymptotically stable. The reduced conservatism of the proposed stability criterion compared with recently reported results is attributed to our using the Jensen inequality. The obtained results can also reduce the computational complexity.
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页数：12
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