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Accessibility of the matrix Riccati differential equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2007 English Publisher:WileyJournal:PAMM, volume 7, pages 4,130,031-4,130,032 (issn: 1617-7061, eissn: 1617-7061,

Authors: Uwe Helmke; Gunther Dirr;

doi: 10.1002/pamm.200700722

Accessibility of the matrix Riccati differential equation

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Abstract

AbstractA known result on the classification of transitive Lie group actions on complex Grassmann manifolds is exploited to derive a necessary and sufficient accessibility criterion for the complex matrix differential Riccati equation. We treat both cases, the symmetric as well as the non‐symmetric Riccati equation. Corresponding accessibility results for the real Riccati equation are also available, but not stated here. An application to the accessibility of generalized double bracket flows is given. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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University of Würzburg
Germany

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