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A persistency of excitation condition for continuous-time systems

A persistency of excitation condition for continuous-time systems
A persistency of excitation condition for continuous-time systems
We study identifiability for linear, continuous time-invariant systems. We state sufficient conditions on an input trajectory u and a finite number of its derivatives, in order to be able to deduce all differential equations describing the data-generating system from any corresponding input-output sequence (u,y) on a finite interval.
Persistency of excitation, continuous-time linear time-invariant systems, identifiability
2475-1456
589 - 594
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Camlibel, M. Kanat
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
van Waarde, Henk
906bc83a-bd1a-4cd3-8a4a-af7d7e8e7ef7
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Camlibel, M. Kanat
72ad3e98-f5d0-4417-9b23-89f2c5d774f3
van Waarde, Henk
906bc83a-bd1a-4cd3-8a4a-af7d7e8e7ef7

Rapisarda, Paolo, Camlibel, M. Kanat and van Waarde, Henk (2023) A persistency of excitation condition for continuous-time systems. IEEE Control Systems Letters, 7, 589 - 594. (doi:10.1109/LCSYS.2022.3205550).

Record type: Article

Abstract

We study identifiability for linear, continuous time-invariant systems. We state sufficient conditions on an input trajectory u and a finite number of its derivatives, in order to be able to deduce all differential equations describing the data-generating system from any corresponding input-output sequence (u,y) on a finite interval.

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Accepted/In Press date: 6 September 2022
Published date: 2023
Additional Information: Publisher Copyright: © 2017 IEEE.
Keywords: Persistency of excitation, continuous-time linear time-invariant systems, identifiability
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Identifiers

Local EPrints ID: 469948
URI: http://eprints.soton.ac.uk/id/eprint/469948
DOI: doi:10.1109/LCSYS.2022.3205550
ISSN: 2475-1456
PURE UUID: d633ebf9-eb0d-4a09-b608-463deb938107

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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: M. Kanat Camlibel
Author: Henk van Waarde

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