Controllability of generalized linear time-invariant systems

This note deals with the problem of
c
-controllability of generalized systems. A new criterion for determining
c
-controllability of generalized systems is established. With controllability established, it is shown that it is always possible to transfer the system from the initial position to any target by a control vector-valued function whose elements are polynomials of bounded degree. The polynomial coefficients are obtained as a solution to a set of linear equations.