Abstract:
A well-known result from linear system theory states that the minimal inner size of a factorization of the Hankel matrix H of a system gives the minimal order of a realiz...Show MoreMetadata
Abstract:
A well-known result from linear system theory states that the minimal inner size of a factorization of the Hankel matrix H of a system gives the minimal order of a realization. In this work it is shown that when dealing with positive linear systems, the existence of a factorization of the Hankel matrix into two nonnegative matrices is only a necessary condition for the existence of a positive realization of order equal to the inner size of the factorization. Necessary and sufficient conditions for the minimality of a positive realization in terms of positive factorization of the Hankel matrix are then derived.
Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications ( Volume: 45, Issue: 6, June 1998)
DOI: 10.1109/81.678491
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