Abstract
Let the set of output’s values Y be a linear space over the field R. In the reference [Matsuo and Hasegawa, 2003], linear representation systems were presented with the following main theorem. The main theorem says that for any causal input/output map, i.e., any input response map, there exist at least two canonical, namely quasi-reachable and distinguishable linear representation systems which realize, equivalently, faithfully describe it, and any two canonical linear representation systems with the same behavior are isomorphic.
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© 2009 Springer-Verlag Berlin Heidelberg
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Hasegawa, Y. (2009). Algebraically Approximate and Noisy Realization of Linear Representation Systems. In: Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images. Lecture Notes in Electrical Engineering, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03217-2_8
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DOI: https://doi.org/10.1007/978-3-642-03217-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03216-5
Online ISBN: 978-3-642-03217-2
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