Geometric structure of single/combined equivalence classes of a controllable pair

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Título:	Geometric structure of single/combined equivalence classes of a controllable pair
Autor/a:	Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Given a pair of matrices representing a controllable linear system, its equivalence classes by the single or combined action of feedbacks, change of state and input variables, as well as their intersection are studied. In particular, it is proved that they are differentiable manifolds and their dimensions are computed. Some remarks concerning the effect of different kinds of feedbacks are derived.
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Linear systems -Matrices -Controllable pairs -Linear systems -Orbits by feedback -Orbits by variables change -System perturbations -Sistemes lineals -Matrius (Matemàtica) -Classificació AMS::37 Dynamical systems and ergodic theory::37A Ergodic theory -Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión publicada Artículo
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