LMI characterization of structural and robust stability

被引：139
作者：
Geromel, JC
de Oliveira, MC
Hsu, L
机构：
[1] Univ Estadual Campinas, LAC DT, Sch Elect Engn, BR-13081970 Campinas, SP, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, BR-21945 Rio De Janeiro, Brazil
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1998年 / 285卷 / 1-3期
基金：
巴西圣保罗研究基金会;
关键词：
D O I：
10.1016/S0024-3795(98)10123-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces several stability conditions for a given class of matrices expressed in terms of Linear Matrix Inequalities (LMI), being thus simply and efficiently computable. Diagonal and simultaneous stability, both characterized by polytopes of matrices, are addressed. Using this approach a method particularly attractive to test a given matrix for D-stability is proposed. Lyapunov parameter dependent functions are built in order to reduce conservativeness of the stability conditions. The key idea is to relate Hurwitz stability with a positive realness condition. (C) 1998 Elsevier Science Inc. All rights reserved.
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页码：69 / 80
页数：12
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