@inproceedings{7e0379e928f44a2b83d1a0fca6d0017e,
title = "Time-Discounted Incremental Input/Output-to-State Stability",
abstract = "The present work provides two alternatives to formulate time-discounted incremental input/output-to-state stability (i-IOSS) as a suitable detectability notion for general nonlinear systems with non-additive disturbances. Both formulations are related to existing i-IOSS notions which result as special cases. Previous results that provide a sufficient Lyapunov-function condition for i-IOSS and that prove i-IOSS to be necessary for the existence of robustly stable full-order state observers are generalized to the presented time-discounted i-IOSS definition for general nonlinear systems. For linear systems, explicit i-IOSS bounds are presented. ",
keywords = "eess.SY, cs.SY",
author = "Sven Knuefer and Mueller, {Matthias A.}",
note = "Funding information: S. Kn{\"u}fer is with Robert Bosch GmbH, Driver Assistance, 70469 Stuttgart, Germany.
[email protected]. M. A. M{\"u}ller is with Leibniz University Hannover, Institute of Automatic Control, 30167 Hannover, Germany.
[email protected]. This work was supported by the German Research Foundation under Grant MU3929-2/1, project number: 426459964.",
year = "2020",
doi = "10.48550/arXiv.2004.14836",
language = "English",
isbn = "978-1-7281-7446-4",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "IEEE",
pages = "5394--5400",
booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",
}