Observability of the direct product of bilinear control systems on lie groups

In this paper, we present a new result on algebraic characterization of observability of a class of control systems, called the Bilinear Control systems on Lie Groups, introduced in the paper; and then extend this result to the direct product of two members in this class. The latter generalizes a recent result on the observability of the direct product of two members of a bilinear control system defined on n.