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An untold story in system identification: a necessary and sufficient condition for system identifiability from finite data

An untold story in system identification: a necessary and sufficient condition for system identifiability from finite data
An untold story in system identification: a necessary and sufficient condition for system identifiability from finite data
We state necessary and sufficient conditions for one finite length input-output trajectory to determine uniquely (modulo state-space isomorphisms) a minimal linear, deterministic input-state-output system, given an upper bound on the state dimension.
Time-series modelling, time-invariant systems, nonparametric methods
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Camlibel, Kanat M.
f67b0877-df5c-49b5-9b49-1811c66b4c52
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Camlibel, Kanat M.
f67b0877-df5c-49b5-9b49-1811c66b4c52

Rapisarda, Paolo and Camlibel, Kanat M. (2022) An untold story in system identification: a necessary and sufficient condition for system identifiability from finite data. In Proceedings 25th International Symposium on Mathematical Theory of Networks and Systems. (In Press)

Record type: Conference or Workshop Item (Paper)

Abstract

We state necessary and sufficient conditions for one finite length input-output trajectory to determine uniquely (modulo state-space isomorphisms) a minimal linear, deterministic input-state-output system, given an upper bound on the state dimension.

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Accepted/In Press date: 6 June 2022
Venue - Dates: 25th International Symposium on Mathematical Theory of Networks and Systems, , Bayreuth, Germany, 2022-09-12 - 2022-09-16
Keywords: Time-series modelling, time-invariant systems, nonparametric methods

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Local EPrints ID: 469946
URI: http://eprints.soton.ac.uk/id/eprint/469946
PURE UUID: 4cbd9aa1-5ac6-49f2-a0c3-288d77a23126

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Date deposited: 29 Sep 2022 16:35
Last modified: 16 Mar 2024 22:08

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Contributors

Author: Paolo Rapisarda
Author: Kanat M. Camlibel

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