Geometric structure of the equivalence classes of a controllable pair
Document typeConference lecture
Rights accessOpen Access
Given a pair of matrices representing a controllable linear system, we study its equivalence classes by the single or combined action of feedbacks and change of state and input variables, as well as their intersections. In particular, we prove that they are differentiable manifolds and we compute their dimensions. Some remarks concerning the effect of different kinds of feedbacks are derived.
CitationPeña, M.; Compta, A.; Ferrer, J. Geometric structure of the equivalence classes of a controllable pair. A: International Conference on Circuits, Systems, Signals. "International Conference on Circuits, Systems, Signals 2010". Malta: 2010, p. 211-218.