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» On Invariant Manifolds of Dynamical Systems in Lie Algebras
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IJBC
2008
98views more  IJBC 2008»
13 years 6 months ago
Slow Invariant Manifolds as Curvature of the Flow of Dynamical Systems
Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space it will be established in ...
Jean-Marc Ginoux, Bruno Rossetto, Leon O. Chua
AUTOMATICA
2002
106views more  AUTOMATICA 2002»
13 years 6 months ago
Controllability of a class of underactuated mechanical systems with symmetry
In this paper we develop results based on geometric mechanics to study the controllability of a class of controlled under-actuated left invariant mechanical systems on Lie groups....
Vikram Manikonda, P. S. Krishnaprasad
FOCM
2002
108views more  FOCM 2002»
13 years 6 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
CVPR
2009
IEEE
15 years 1 months ago
Locally Time-Invariant models of Human Activities using Trajectories on the Grassmanian
Human activity analysis is an important problem in computer vision with applications in surveillance and summarization and indexing of consumer content. Complex human activities...
Pavan Turaga, Rama Chellappa
CVPR
2008
IEEE
14 years 8 months ago
A recursive filter for linear systems on Riemannian manifolds
We present an online, recursive filtering technique to model linear dynamical systems that operate on the state space of symmetric positive definite matrices (tensors) that lie on...
Ambrish Tyagi, James W. Davis