A Persistency of Excitation Condition for Continuous-Time Systems

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

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
21 Downloads (Pure)


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 languageEnglish
Pages (from-to)589-594
Number of pages6
JournalIEEE Control Systems Letters
Publication statusPublished - 2023


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

Cite this