2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59468We treat the vakonomic dynamics with general constraints within a new geometric framework which will be appropriate to study optimal control problems. We compare our formulation with Vershik-Gershkovich one in the case of linear constraints. We show how nonholonomic mechanics also admits a new geometrical description wich enables us to develop an algorithm of comparison between the solutions of both dynamics. Some examples illustrating the theory are treated.34 pagesDifferential GeometryOptimization and ControlSymplectic Geometry34A26; 49K15; 70F25text