Positivity and Linear Matrix Inequalities

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 i...

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Bibliographic Details
Published inEuropean journal of control Vol. 8; no. 3; pp. 275 - 298
Main Authors Genin, Y., Hachez, Y., Nesterov, Yu, Ştefan, R., Van Dooren, P., Xu, S.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2002
Subjects
Convex optimization
Linear matrix inequalities
Positivity
Convex optimization
Positivity
Linear matrix inequalities
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Summary: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.
ISSN:0947-3580
1435-5671
DOI:10.3166/ejc.8.275-298