Cyclic vectors of associative matrix algebras and reachability criteria for linear and nonlinear control systems


Motivated by the controllability/reachability problems for switched linear control systems and some classes of nonlinear (mechanical) control systems we address a related problem of existence of a cyclic vector for an associative (matrix) algebra. We provide a sufficient criterion for existence of cyclic vector and draw conclusions for controllability. 
DOI: 10.1109/CDC.2015.7402623