Stability analysis for point delay fractional description models via linear matrix inequalities

被引：1
作者：
De la Sen, M. [1 ]
机构：
[1] Fac Sci & Technol, Inst Res & Dev Processes, Dept Elect & Elect, Bilbao 48080, Spain
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
关键词：
Dynamic systems; Fractional descriptions; Real-rational nonlinearities; Stability; DIFFERENTIAL-EQUATIONS; ROBUST STABILIZATION; SYSTEMS; OPTIMIZATION; CONTROLLERS;
D O I：
10.1016/j.na.2008.11.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to linear parameter systems under linear fractional representations (LFR) of parameter-dependent nonlinear systems with real-rational nonlinearities and point-delayed dynamics. The robust global asymptotic stability of the system either independent of or dependent on the delay sizes is investigated. The associate matrix inequalities are related to the time-derivatives of appropriate Lyapunov functions at all the vertices of the polytope which contains the parameterized uncertainties. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E309 / E318
页数：10
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