Abstract
Let the set Y of output’s values be a linear space over the real number field R. It is well known that linear system theory was established in the algebraic sense [Kalman, 1969]. The main theorem says that for any causal linear input/output map, there exist at least two canonical (controllable and observable) linear systems which realize (faithfully describe) it and any two canonical linear systems with the same behavior are isomorphic.
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