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» Coordination on Lie groups
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CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
15 years 7 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...
91
Voted
AB
2007
Springer
15 years 5 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
105
Voted
CORR
2006
Springer
88views Education» more  CORR 2006»
15 years 1 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
92
Voted
ISBI
2006
IEEE
16 years 1 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,...
99
Voted
MMMACNS
2005
Springer
15 years 6 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