Continuously Equivalent State Variable Realizations

Abstract

Suppose one is given two minimal realizations of the same transfer function matrix. The question is asked: When does there exist a family of coordinate transformations defined by a set of nonsingular matrices T(λ), continuously dependent on λ, with T(0) = I and with T(1) mapping the state vector associated with one minimal realization into the state vector associated with the other? The quesion is answered, and a procedure is given for constructing the family when it exists. Show more