A differential equation for diagonalizing complex semisimple Lie algebra elements

DOI10.1016/j.sysconle.2009.12.001zbMath1186.93022OpenAlexW2053182495WikidataQ115340991 ScholiaQ115340991MaRDI QIDQ962198

Martin Kleinsteuber, Uwe R. Helmke

Publication date: 6 April 2010

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.12.001

zbMATH Keywords

diagonalizationsemisimple Lie algebrastructure preserving isospectral flow

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Algebraic methods (93B25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

The minimal Morse components of translations on flag manifolds are normally hyperbolic

Cites Work

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• Global convergence of nonlinear cascade flows with Morse-Bott zero dynamics
• On an eigenflow equation and its Lie algebraic generalization
• Completely integrable gradient flows
• A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
• Geometric Numerical Integration
• Persistence in dynamical systems
• Lie groups beyond an introduction

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