Controllability of Poisson Systems
Copyright policy )Controllability of Poisson Systems
Summary: Sufficient conditions for the controllability of affine nonlinear control systems on Poisson manifolds are given. The important special case when the Poisson manifold is the reduced space of a symplectic manifold by a free Lie group action is studied. The controllability of the reduced system is linked to that of the given affine nonlinear system. Several examples illustrating the theory are also presented.
- École Polytechnique Fédérale de Lausanne EPFL Switzerland
Controllability, symplectic manifold, Dynamics of multibody systems, Momentum maps; symplectic reduction, reduction, Symplectic manifolds (general theory), weak positive Poisson stability, Differential-geometric methods in systems theory, controllability, Poisson manifold
Controllability, symplectic manifold, Dynamics of multibody systems, Momentum maps; symplectic reduction, reduction, Symplectic manifolds (general theory), weak positive Poisson stability, Differential-geometric methods in systems theory, controllability, Poisson manifold
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