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

Author
Compta, Albert; Ferrer, J.; Peña, M.
Type of activity
Journal article
Journal
Electronic journal of linear algebra
Date of publication
2011-11
Volume
22
First page
1112
Last page
1128
Repository
http://hdl.handle.net/2117/14520 Open in new window
URL
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol22_pp1112-1128.pdf Open in new window
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.
Citation
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.
Keywords
Controllable pairs, Linear systems, Orbits by feedback, Orbits by variables change, System perturbations
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

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