Correction to: 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)

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

*Corresponding author for this work

Research output: Contribution to journalComment/Letter to the editorAcademicpeer-review

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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 languageEnglish
Pages (from-to)195
Number of pages1
JournalMathematics of Control, Signals, and Systems
Volume33
Issue number1
DOIs
Publication statusPublished - Mar 2021

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