Algebraically Approximate and Noisy Realization of Pseudo Linear Systems

Abstract

Let the set Y of output’s values be a linear space over the real number field R. In the reference [Matsuo and Hasegawa, 2003], pseudo linear systems were presented with a main theorem, which says that for any time-invariant input response map, there exist at least two canonical (quasi-reachable and distinguishable) pseudo linear systems which realize, that is, faithfully describe it, and any two canonical pseudo linear systems with the same behavior are isomorphic.