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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Veröffentlicht in:European journal of control 2002, Vol.8 (3), p.275-298
Hauptverfasser: Genin, Y., Hachez, Y., Nesterov, Yu, Ştefan, R., Van Dooren, P., Xu, S.
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Sprache:eng
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Zusammenfassung: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