On the Exact Model Matching of linear singular multi-delay systems via measurement output feedback

The general class of linear singular neutral multi delay systems is introduced. The controller is of the general proportional multi delay measurement output feedback type. For the case of regularizable linear singular multi delay systems the design problem of Exact Model Matching (EMM) is solved under the assumption that the ideal model is left invertible. The necessary and sufficient conditions for the problem to admit a realizable controller solution are established and the general solution of the realizable controllers is derived.