1 Correction to: Mathematics of Control, Signals, and Systems (2020) 32:293–307 https://doi.org/10.1007/s00498-020-00264-w
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 \(\sigma \) 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 \(k_r\) replaced by k.
Otherwise, the \({\mathcal K}_\infty \)-function candidate for the functions \(\rho \) in (7) would depend on the solution x and the disturbance d in both theorems.
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Jacob, B., Schwenninger, F.L. & Vorberg, L.A. Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback. Math. Control Signals Syst. 33, 195 (2021). https://doi.org/10.1007/s00498-021-00278-y
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DOI: https://doi.org/10.1007/s00498-021-00278-y