@inproceedings{cca11371c8e54ffba867f0c112a42b03,
title = "Incrementally passive infinite dimensional systems with a constrained state variable",
abstract = "In this paper, we show that the passivity property of a linear infinite dimensional system, with respect to a given supply rate, is preserved in the presence of a saturating integrator, which restricts a one dimensional component of the state to a compact interval. The resulting nonlinear system is incrementally passive with the same supply rate. We give an application of our main result to a boundary controlled string equation, where the displacement of the string at some interior point is restricted to a compact interval.",
author = "Shantanu Singh and S{\'e}bastien Fueyo and George Weiss",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",
year = "2023",
doi = "10.1109/CDC49753.2023.10383643",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1937--1942",
booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",
address = "الولايات المتّحدة",
}