Positivity and linear matrix inequalities

被引：27
作者：
Genin, Y [1 ]
Hachez, Y [1 ]
Nesterov, Y [1 ]
Stefan, R [1 ]
Van Dooren, P [1 ]
Xu, S [1 ]
机构：
[1] Univ Catholique Louvain, CESAME, B-1348 Louvain, Belgium
来源：
EUROPEAN JOURNAL OF CONTROL | 2002年 / 8卷 / 03期
基金：
美国国家科学基金会;
关键词：
convex optimization; linear matrix inequalities; positivity;
D O I：
10.3166/ejc.8.275-298
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we first recall the general theory of Popov realizations of parahermitian transfer functions in the context of generalized state space systems. We then use this general framework to derive linear matrix inequalities for some particular applications in systems and control. Finally, we indicate how these problems can be solved numerically and what specific numerical difficulties can be encountered in these applications.
引用
收藏
页码：275 / 298
页数：24
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