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

Autor
Compta, Albert; Ferrer, J.; Peña, M.
Tipus d'activitat
Article en revista
Revista
Electronic journal of linear algebra
Data de publicació
2011-11
Volum
22
Pàgina inicial
1112
Pàgina final
1128
Repositori
http://hdl.handle.net/2117/14520 Obrir en finestra nova
URL
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol22_pp1112-1128.pdf Obrir en finestra nova
Resum
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.
Citació
Compta, A.; Ferrer, J.; Peña, M. Geometric structure of single/combined equivalence classes of a controllable pair. "Electronic journal of linear algebra", Novembre 2011, vol. 22, p. 1112-1128.
Paraules clau
Controllable pairs, Linear systems, Orbits by feedback, Orbits by variables change, System perturbations
Grup de recerca
SCL-EG - Sistemes de Control Lineals: estudi Geomètric

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