TY - JOUR

T1 - Erratum for “Global Identifiability of Differential Models” (Comm. Pure Appl. Math., 10.1002/cpa.21921)

AU - Hong, Hoon

AU - Ovchinnikov, Alexey

AU - Pogudin, Gleb

AU - Yap, Chee

N1 - Publisher Copyright:
© 2023 Wiley Periodicals LLC.

PY - 2024/3

Y1 - 2024/3

N2 - 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.).

AB - 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.).

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U2 - 10.1002/cpa.22163

DO - 10.1002/cpa.22163

M3 - Comment/debate

AN - SCOPUS:85171740548

SN - 0010-3640

VL - 77

SP - 2177

EP - 2179

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 3

ER -