Correction to: Remarks on input-to-state stability of collocated systems with saturated feedback

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 k r 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.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.