On the regulator problem for linear systems over rings and algebras

The regulator problem is solvable for a linear dynamical system Σ\Sigma if and only if Σ\Sigma is both pole assignable and state estimable. In this case, Σ\Sigma is a canonical system (i.e., reachable and observable). When the ring RR is a field or a Noetherian total ring of fractions the convers...

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Bibliographic Details
Main Authors: Hermida-Alonso José Ángel, Carriegos Miguel V., Sáez-Schwedt Andrés, Sánchez-Giralda Tomás
Format: Article
Language:English
Published: De Gruyter 2021-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0002