Normal rational matrices and the problem of constructing minimal realizations


It is shown that in addition to controllability and observability of state-space realisations, the concept of normality of rational matrices is fundamental to generate minimal realisations from transfer matrices. The paper extends the concept of normality from irreducible to reducible rational matrices and proves essential properties of those matrices. 
DOI: 10.1109/ICCA.2016.7505330


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