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 voor dit werk

Systems, Control and Applied Analysis

Onderzoeksoutput › Academic › peer review

8 Citaten (Scopus)

112 Downloads (Pure)

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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.

Originele taal-2	English
Pagina's (van-tot)	589-594
Aantal pagina's	6
Tijdschrift	IEEE Control Systems Letters
Volume	7
DOI's	https://doi.org/10.1109/LCSYS.2022.3205550
Status	Published - 2023

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A Persistency of Excitation Condition for Continuous-Time SystemsFinal publisher's version, 316 KBLicentie: 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.}",

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AU - Çamlibel, M. K.

AU - Van Waarde, H. J.

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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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DO - 10.1109/LCSYS.2022.3205550

M3 - Article

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VL - 7

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

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A Persistency of Excitation Condition for Continuous-Time Systems

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