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» Coordination on Lie groups
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CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
13 years 11 months ago
Coordination on Lie groups
— This paper studies the coordinated motion of a group of agents evolving on a Lie group. Left- or rightinvariance with respect to the absolute position on the group lead to two ...
Alain Sarlette, Silvere Bonnabel, Rodolphe Sepulch...
AB
2007
Springer
13 years 8 months ago
Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equations. ...
Alexandre Sedoglavic
CORR
2006
Springer
88views Education» more  CORR 2006»
13 years 4 months ago
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. ...
Evelyne Hubert, Alexandre Sedoglavic
ISBI
2006
IEEE
14 years 5 months ago
3D anatomical variability assessment of the scoliotic spine using statistics on Lie groups
We present a method to analyse the variability of the spine shape using rigid transforms. The spine was expressed as a set of rigid transforms that superpose local coordinates sys...
Jonathan Boisvert, Xavier Pennec, Nicholas Ayache,...
MMMACNS
2005
Springer
13 years 10 months ago
Networks, Markov Lie Monoids, and Generalized Entropy
The continuous general linear group in n dimensions can be decomposed into two Lie groups: (1) an n(n-1) dimensional ‘Markov type’ Lie group that is defined by preserving the ...
Joseph E. Johnson