Overlapping block-balanced canonical forms for various classes of linear systems (Q1808954)

Through the use of balanced realizations it has been possible to derive parameterizations and canonical forms for various classes of minimal linear systems of given dimension. A possible problem of these parameterization is that they are not overlapping. This could be a drawback for the application of balanced parameterizations in such areas as system identification, model reduction and optimization. It is the topic of this paper to derive overlapping parameterizations which are closely related to the existing balanced parameterizations. This is a highly specialized and carefully written paper. The results include both the single-input single-output case and the multivariable case.