Time-Discounted Incremental Input/Output-to-State Stability

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

Organisationseinheiten

Externe Organisationen

  • Universität Stuttgart
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des Sammelwerks2020 59th IEEE Conference on Decision and Control, CDC 2020
Seiten5394-5400
Seitenumfang7
ISBN (elektronisch)9781728174471
PublikationsstatusVeröffentlicht - 2020

Publikationsreihe

NameProceedings of the IEEE Conference on Decision and Control
Band2020-December
ISSN (Print)0743-1546
ISSN (elektronisch)2576-2370

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.

ASJC Scopus Sachgebiete

Zitieren

Time-Discounted Incremental Input/Output-to-State Stability. / Knuefer, Sven; Mueller, Matthias A.
2020 59th IEEE Conference on Decision and Control, CDC 2020. 2020. S. 5394-5400 9304034 (Proceedings of the IEEE Conference on Decision and Control; Band 2020-December).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Knuefer, S & Mueller, MA 2020, Time-Discounted Incremental Input/Output-to-State Stability. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304034, Proceedings of the IEEE Conference on Decision and Control, Bd. 2020-December, S. 5394-5400. https://doi.org/10.48550/arXiv.2004.14836, https://doi.org/10.1109/cdc42340.2020.9304034
Knuefer, S., & Mueller, M. A. (2020). Time-Discounted Incremental Input/Output-to-State Stability. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (S. 5394-5400). Artikel 9304034 (Proceedings of the IEEE Conference on Decision and Control; Band 2020-December). https://doi.org/10.48550/arXiv.2004.14836, https://doi.org/10.1109/cdc42340.2020.9304034
Knuefer S, Mueller MA. Time-Discounted Incremental Input/Output-to-State Stability. in 2020 59th IEEE Conference on Decision and Control, CDC 2020. 2020. S. 5394-5400. 9304034. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.48550/arXiv.2004.14836, 10.1109/cdc42340.2020.9304034
Knuefer, Sven ; Mueller, Matthias A. / Time-Discounted Incremental Input/Output-to-State Stability. 2020 59th IEEE Conference on Decision and Control, CDC 2020. 2020. S. 5394-5400 (Proceedings of the IEEE Conference on Decision and Control).
Download
@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. knuefer@gmx.de. M. A. M{\"u}ller is with Leibniz University Hannover, Institute of Automatic Control, 30167 Hannover, Germany. mueller@irt.uni-hannover.de. 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",
pages = "5394--5400",
booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",

}

Download

TY - GEN

T1 - Time-Discounted Incremental Input/Output-to-State Stability

AU - Knuefer, Sven

AU - Mueller, Matthias A.

N1 - Funding information: S. Knüfer is with Robert Bosch GmbH, Driver Assistance, 70469 Stuttgart, Germany. knuefer@gmx.de. M. A. Müller is with Leibniz University Hannover, Institute of Automatic Control, 30167 Hannover, Germany. mueller@irt.uni-hannover.de. This work was supported by the German Research Foundation under Grant MU3929-2/1, project number: 426459964.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - eess.SY

KW - cs.SY

UR - http://www.scopus.com/inward/record.url?scp=85099876914&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2004.14836

DO - 10.48550/arXiv.2004.14836

M3 - Conference contribution

SN - 978-1-7281-7446-4

SN - 978-1-7281-7448-8

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5394

EP - 5400

BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020

ER -

Von denselben Autoren