Controlabilite de Systemes Mecaniques Sur Les Groupes de Lie

DOI10.1137/0322045zbMath0549.93009OpenAlexW2025120273MaRDI QIDQ3342272

Bernard Bonnard

Publication date: 1984

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0322045

zbMATH Keywords

rigid bodyglobal controllabilityattitude problem

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Free motion of a rigid body (70E15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Attainable sets, reachability (93B03) Lie groups (22E99) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (7)

Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Stabilization of rigid body dynamics by the Energy-Casimir method ⋮ Stabilization of rigid body dynamics by internal and external torques ⋮ An estimation of the controllability time for single-input systems on compact Lie Groups ⋮ Global stability of a class of difference equations on solvable Lie algebras ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces.

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