SEMIGROUPS OF AFFINE GROUPS, CONTROLLABILITY OF AFFINE SYSTEMS AND AFFINE BILINEAR SYSTEMS IN Sl(2, R) R2

摘要

Let G = BV be an affine group given by a semidirect product of connected Lie group B and vector space V , where B has a transitive representation on V . We study semigroups of G with nonempty interior. As an application, we obtain a characterization of controllability of bilinear systems in the case of Sl(2, R)R2.