• search hit 70 of 1103
Back to Result List

The Lur'e equation in a behavioral context

Please always quote using this URN:urn:nbn:de:0296-matheon-9035
  • The well-known Kalman-Yakubovich-Popov Lemma establishes an equivalence between dissipativity and the solvability of a linear matrix inequality. In this paper we strengthen this result by showing the equivalence of dissipativity to the solvability of a so-called Lur'e equation, which mainly is a linear matrix inequality with a rank minimizing condition. Finally, we apply the result to standard systems to obtain the well-known result about the solvability of the algebraic Riccati equation.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Tobias Brüll
URN:urn:nbn:de:0296-matheon-9035
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/09/29
Release Date:2011/09/29
Tag:Lur'e equation; Thompson canonical form; algebraic Riccati equation; dissipativity; para-Hermitian
Institute:Technische Universität Berlin
Project:D Optics and Electronics (Electronic and photonic devices)
MSC-Classification:93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Axx General / 93A99 None of the above, but in this section
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Axx General
Preprint Number:819
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.