Least order, stable solution of the exact model matching problem

-The set of all solutions of the minimal design problem (MDP) is presented in parametric form. This result is obtained by first deriving a parametric representation of all minimal bases of a particular vector space.From this the set of all solutions of the MDP are obtained. Then conditipns are placed on the. parameters, which conditions define set of stable solutions of the MDP. Solutions to the nonminimal model matching problem are also presented in parametric form, and it is shown how in principle solutions of snmsively higher degree can be searched for a stable solution. should the MDP have no stable solut~on, 50 that a solullon to the model matchtng problem call be found whtrh has the lowest order connstcnl wjlh a stability constraint.