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» Coordination on Lie groups
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MOC
2000
145views more  MOC 2000»
13 years 5 months ago
Approximating the exponential from a Lie algebra to a Lie group
Consider a differential equation y = A(t, y)y, y(0) = y0 with y0 G and A : R+
Elena Celledoni, Arieh Iserles
CDC
2010
IEEE
122views Control Systems» more  CDC 2010»
13 years 9 days ago
Extremal collective behavior
Abstract-- Curves and natural frames can be used for describing and controlling motion in both biological and engineering contexts (e.g., pursuit and formation control). The geomet...
Eric W. Justh, P. S. Krishnaprasad
MOC
2002
82views more  MOC 2002»
13 years 5 months ago
Lie symmetries and differential Galois groups of linear equations
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
W. R. Oudshoorn, M. van der Put
CDC
2010
IEEE
139views Control Systems» more  CDC 2010»
13 years 9 days ago
Optimal control on non-compact lie groups: A projection operator approach
Many nonlinear systems of practical interest evolve on Lie groups or on manifolds acted upon by Lie groups. Examples range from aircraft and underwater vehicles to quantum mechanic...
Alessandro Saccon, John Hauser, A. Pedro Aguiar
FOCM
2008
100views more  FOCM 2008»
13 years 5 months ago
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
In this paper, we consider some matrix subgroups of the general linear group and in particular the special linear group that are defined by a quadratic matrix identity. The Lie al...
Anthony M. Bloch, Peter E. Crouch, Jerrold E. Mars...