PAMM
Volume 15, Issue 1 pp. 645-646
Section 20
Free Access

The Kalman-Yakubovich-Popov Inequality for Descriptor Systems

Timo Reis, 

Corresponding Author

Timo Reis

Fachbereich Mathematik, Universität Hamburg

Timo Reis, phone +49 40 42838–5111, fax +49 40 42838–5117

Matthias Voigt, phone +49 30 314 24767, fax +49 30 314 79706

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Matthias Voigt, 

Corresponding Author

Matthias Voigt

Institut für Mathematik, Technische Universität Berlin

Timo Reis, phone +49 40 42838–5111, fax +49 40 42838–5117

Matthias Voigt, phone +49 30 314 24767, fax +49 30 314 79706

Search for more papers by this author
First published: 21 October 2015
https://doi.org/10.1002/pamm.201510312

Abstract

In this paper, we consider the Kalman-Yakubovich-Popov lemma for descriptor systems. We study the arising linear matrix inequality in more detail. In particular, we give details about stabilizing solutions which play an important role for linear-quadratic control problems. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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