Erratum for “Global Identifiability of Differential Models” (Comm. Pure Appl. Math., 10.1002/cpa.21921)

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)
Pages (from-to)2177-2179
Number of pages3
JournalCommunications on Pure and Applied Mathematics
Volume77
Issue number3
DOIs
StatePublished - Mar 2024

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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