Title: A minimal partial realization algorithm for MIMO systems. III: a parametrization of all solutions
Authors: Van Barel, Marc ×
Bultheel, Adhemar
Issue Date: Aug-1987
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW93
Abstract: In this report we derive all solutions of the minimal partial k-realization
problem in the form of a polynomial matrix fraction.

All solutions are parametrized by the minimal number of parameters,
i.e. a different choice for the parameter values gives a different rational
matrix function.
As an intermediate result we get an alternative basis for S(n,α)_k
based on the (shifted) auxiliary and solution vectors at level n.
An example is shown to clarify the theory.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author

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