Minimal state space realizations in Jacobson normal form
Naoharo Ito, Wiland Schmale, Harald Wimmer
TL;DR
This paper presents a method for deriving minimal state space realizations of rational transfer matrices over any field, utilizing Smith-McMillan form to achieve Jacobson normal form for the state transition matrix.
Contribution
It introduces a novel procedure for minimal state space realization in Jacobson normal form based on Smith-McMillan form, applicable over arbitrary fields.
Findings
Provides a systematic procedure for minimal realization
Achieves Jacobson normal form for state transition matrix
Applicable to transfer matrices over any field
Abstract
We derive a procedure for a minimal state space realization of a rational transfer matrix over an arbitrary eld. The procedure is based on the Smith- McMillan form and leads to a state transition matrix in Jacobson normal form.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Matrix Theory and Algorithms · Blind Source Separation Techniques