On the invariants of one class of bilinear control systems

Osetinskiy N.

We investigate the properties of reachability and observability, canonical forms and invariants of bilinear control systems, as well null-forms in the space of two-dimensional bilinear systems with one-dimensional inputs and outputs under similarity transformations, i.e. action on the space of the systems of the group GLn, determined by the change of coordinates in the state space of the system.

Keywords:bilinear controlled system, subspace, observability, canonical form, invariant.