Controllability of stationary linear multivariable systems using a frequency-domain criterion

The notion of truncated function is used as a new approach to establish controllability criteria for stationary linear multivariable systems. The method presented provides a simple technique to test the controllability of a system represented by its inputs and initial conditions transfer matrices. In addition, the formulation of the problem leads to a very straightforward method for deriving optimal control laws for certain classes of minimum fuel and minimum time control problems.