TY - JOUR

T1 - Correction to

T2 - Remarks on input-to-state stability of collocated systems with saturated feedback (Mathematics of Control, Signals, and Systems, (2020), 32, 3, (293-307), 10.1007/s00498-020-00264-w)

AU - Jacob, Birgit

AU - Schwenninger, Felix L.

AU - Vorberg, Lukas A.

PY - 2021/3

Y1 - 2021/3

N2 - The following corrections should be made to this article. In Theorem 9 and Theorem 11, one needs to add the assumption that the admissible feedback function σ is globally Lipschitz continuous. If we denote the globally Lipschitz constant by k, then in the proofs of Theorems 9 and 11 the definition of r should be omitted and the constant kr replaced by k. Otherwise, the K∞-function candidate for the functions ρ in (7) would depend on the solution x and the disturbance d in both theorems.

AB - The following corrections should be made to this article. In Theorem 9 and Theorem 11, one needs to add the assumption that the admissible feedback function σ is globally Lipschitz continuous. If we denote the globally Lipschitz constant by k, then in the proofs of Theorems 9 and 11 the definition of r should be omitted and the constant kr replaced by k. Otherwise, the K∞-function candidate for the functions ρ in (7) would depend on the solution x and the disturbance d in both theorems.

UR - http://www.scopus.com/inward/record.url?scp=85100544586&partnerID=8YFLogxK

U2 - 10.1007/s00498-021-00278-y

DO - 10.1007/s00498-021-00278-y

M3 - Comment/Letter to the editor

AN - SCOPUS:85100544586

VL - 33

SP - 195

JO - Mathematics of control, signals and systems

JF - Mathematics of control, signals and systems

SN - 0932-4194

IS - 1

ER -