Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback (vol 32, pg 293, 2020)

Birgit Jacob; Felix L. Schwenninger; Lukas A. Vorberg

doi:10.1007/s00498-021-00278-y

Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback (vol 32, pg 293, 2020)

Birgit Jacob^*, Felix L. Schwenninger, Lukas A. Vorberg

^*Corresponding author for this work

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Abstract

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.

Original language	English
Pages (from-to)	195-195
Number of pages	1
Journal	Mathematics of Control, Signals, and Systems
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/s00498-021-00278-y
Publication status	Published - Mar 2021

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Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback (vol 32, pg 293, 2020)

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