Abstract
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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© 2015 Springer International Publishing Switzerland
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Hasegawa, Y. (2015). Control Laws of Linear Representation Systems. In: Control Problems of Discrete-Time Dynamical Systems. Studies in Systems, Decision and Control, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-14630-0_8
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DOI: https://doi.org/10.1007/978-3-319-14630-0_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14629-4
Online ISBN: 978-3-319-14630-0
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