Co-Adjoint representation and controllability

• Autores: Víctor Ayala, Luis B. Vergara
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 11, Nº. 1, 1992, págs. 37-48
• Idioma: inglés
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• Resumen

  • Let Σ 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 Σ via the co-adjoint representation, has a vector called simplectic. This allows the construction of a strictly increasing function over the positive trajectories of Σ, determining sufficient conditions for the controllability of Σ over G.