On theH-matrix system representation

The
H
-matrix representation of the input/output behavior of an asymptotically stable constant parameter linear system is discussed. The concept of a canonical representation and the measurements required to determine this representation directly are treated. The minimal complete realization problem is solved for the
H
-matrix representation based on exponential signals, and connections between this approach and the identification and realization theories based on the Hankel matrix of Markov parameters are exhibited.