English

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

Optimization and Control 2020-09-01 v3 Analysis of PDEs Functional Analysis

Abstract

We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an additional assumption on the linear system, we show ISS for the saturated one. We discuss the sharpness of the conditions in light of existing results in the literature.

Keywords

Cite

@article{arxiv.2001.01636,
  title  = {Remarks on input-to-state stability of collocated systems with saturated feedback},
  author = {Birgit Jacob and Felix L. Schwenninger and Lukas A. Vorberg},
  journal= {arXiv preprint arXiv:2001.01636},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T13:04:03.232Z