A Persistency of Excitation Condition for Continuous-Time Systems

P. Rapisarda; M. K. Çamlibel; H. J. Van Waarde

doi:10.1109/LCSYS.2022.3205550

A Persistency of Excitation Condition for Continuous-Time Systems

P. Rapisarda^*, M. K. Çamlibel, H. J. Van Waarde

^*Corresponding author for this work

Systems, Control and Applied Analysis

Research output: Contribution to journal › Article › Academic › peer-review

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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.

Original language	English
Pages (from-to)	589-594
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	7
DOIs	https://doi.org/10.1109/LCSYS.2022.3205550
Publication status	Published - 2023

Keywords

continuous-time linear time-invariant systems
identifiability
Persistency of excitation

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10.1109/LCSYS.2022.3205550

A Persistency of Excitation Condition for Continuous-Time SystemsFinal publisher's version, 316 KBLicence: Taverne

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title = "A Persistency of Excitation Condition for Continuous-Time Systems",

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.",

keywords = "continuous-time linear time-invariant systems, identifiability, Persistency of excitation",

author = "P. Rapisarda and {\c C}amlibel, {M. K.} and {Van Waarde}, {H. J.}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2023",

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AU - Rapisarda, P.

AU - Çamlibel, M. K.

AU - Van Waarde, H. J.

PY - 2023

Y1 - 2023

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AB - 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.

KW - continuous-time linear time-invariant systems

KW - identifiability

KW - Persistency of excitation

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U2 - 10.1109/LCSYS.2022.3205550

DO - 10.1109/LCSYS.2022.3205550

M3 - Article

AN - SCOPUS:85137848899

SN - 2475-1456

VL - 7

SP - 589

EP - 594

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

A Persistency of Excitation Condition for Continuous-Time Systems

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Keywords

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