A note on the state-space realizations equivalence
P. Lopes dos Santos, J. A. Ramos, T-P Azevedo Perdico\'ulis and, J. L. Martins de Carvalho
TL;DR
This paper addresses the problem of obtaining a state-space realization that is compatible with both deterministic realizations and filtering problems, providing insights into their equivalence.
Contribution
It offers a solution to align state-space realizations with deterministic and filtering frameworks, clarifying their relationship.
Findings
Established conditions for realization equivalence
Provided a method for compatible state-space construction
Clarified the relationship between different realization types
Abstract
In this note we resolve the problem of getting a state-space realization compatible with the deterministic state-space realization and the filtering problem.
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Taxonomy
TopicsControl Systems and Identification