TY - JOUR AU - Ayala, VĂ­ctor AU - Vergara, Luis B. PY - 2018/04/02 Y2 - 2024/03/29 TI - Co-Adjoint representation and controllability JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 11 IS - 1 SE - DO - 10.22199/S07160917.1992.0001.00006 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2603 SP - 37-48 AB - <p>Let ? an invariant control system over Lie group G The existence of a nontrivial simplectic orbit of G is analysed, so that the Hamiltonian system equivalent to ? via the co-adjoint representation, has a vector called simplectic. This allows the construction of a strictly increasing function over the positive trajectories of ?, determining sufficient conditions for the controllability of ? over G.</p> ER -