Communications in Information & Systems

Accessibility of a Class of Generalized Double-Bracket Flows

G. Dirr and U. Helmke

Full-text: Open access

Abstract

We investigate a generalization of Brockett’s celebrated double bracket flow that is closely related to matrix Riccati differential equations. Using known results on the classification of transitive Lie group actions on homogeneous spaces, necessary and sufficient conditions for accessibility of the generalized double bracket flow on Grassmann manifolds are derived. This leads to sufficient Lie–algebraic conditions for controllability of the generalized double bracket flow. Accessibility on the Lagrangian Grassmann manifold is studied as well, with applications to matrix Riccati differential equations from optimal control.

Article information

Source
Commun. Inf. Syst. Volume 8, Number 2 (2008), 127-146.

Dates
First available in Project Euclid: 21 April 2009

Permanent link to this document
http://projecteuclid.org/euclid.cis/1240325288

Zentralblatt MATH identifier
05566125

Mathematical Reviews number (MathSciNet)
MR2495870

Citation

Dirr, G.; Helmke, U. Accessibility of a Class of Generalized Double-Bracket Flows. Commun. Inf. Syst. 8 (2008), no. 2, 127--146. http://projecteuclid.org/euclid.cis/1240325288.


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