Continuously equivalent state variable realizations
Brian D. O. Anderson · IEEE Transactions on Circuit Theory · 1972
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 matricesT(\lambda), continuously dependent on\lambda, withT(0) = Iand with(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.