Geodesic
Geometric structure of single/combined equivalence classes of a controllable pair
The electronic journal of linear algebra, Tome 22 (2011), pp. 1112-1128.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 37A20, 93C05, 93C73
Keywords: controllable pairs, linear systems, orbits by feedback, orbits by variables change, system perturbations 
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     title = {Geometric structure of single/combined equivalence classes of a controllable pair},
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Compta, Albert; Ferrer, Josep; Pena, Marta. Geometric structure of single/combined equivalence classes of a controllable pair. The electronic journal of linear algebra, Tome 22 (2011), pp. 1112-1128. http://geodesic.mathdoc.fr/item/ELA_2011__22__a4/