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

页码：E309 / E318

页数：10

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