The category of affine connection control systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 5, Issue , 2000, Pages 5119-5124

  Lewis, A D ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; FEEDBACK CONTROL; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS;

AFFINE CONNECTION CONTROL SYSTEMS; AFFINE DIFFERENTIAL GEOMETRY; CONTROL VECTOR FIELDS; FEEDBACK TRANSFORMATIONS;

CONTROL SYSTEM ANALYSIS;

EID: 0034443421     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. Stabilization of rigid body dynamics by internal and external torques
2. Stabilization of mechanical systems using controlled Lagrangians
3. Affine submersions
4. Controllability and motion algorithms for underactuated Lagrangian systems on Lie groups
5. Affine control systems: Their equivalence, classification, quotient systems, and subsystems
6. General matching conditions in the theory of controlled Lagrangians
7. Simple mechanical control systems with constraints
8. Affine connections and distributions with applications to nonholonomic mechanics
9. Controllability of simple mechanical control systems
10. Decompositions of control systems on manifolds with an affine connection
11. Totally geodesic maps