Erratum for “Global Identifiability of Differential Models”

Hoon Hong, Alexey Ovchinnikov, Gleb Pogudin, Chee Yap

Research output: Contribution to journalComment/debatepeer-review

Abstract

We are grateful to Peter Thompson for pointing out an error in [1, Lemma 3.5, p. 1848]. The original proof worked only under the assumption that (Formula presented.) is a vector of constants. However, some of the components of (Formula presented.) could be the states of the dynamic under consideration, and the lemma was used in such a setup (i.e., with (Formula presented.) involving states) later in [1, Proposition 3.4]. We give a more explicit version of the statement and provide a correct proof. The desired statement will be deduced from the following: (Formula presented.) (Formula presented.) The following corollary is equivalent to [1, Lemma 3.5, p. 1848] but explicitly highlights that some of the entries of (Formula presented.) may be initial conditions, not only system parameters. (Formula presented.) (Formula presented.).

Original languageEnglish (US)
JournalCommunications on Pure and Applied Mathematics
DOIs
StateAccepted/In press - 2023

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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