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

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  • University of Stuttgart
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Details

Original languageEnglish
Title of host publication2020 59th IEEE Conference on Decision and Control, CDC 2020
Pages5394-5400
Number of pages7
ISBN (electronic)9781728174471
Publication statusPublished - 2020

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2020-December
ISSN (Print)0743-1546
ISSN (electronic)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.

Keywords

    eess.SY, cs.SY

ASJC Scopus subject areas

Cite this

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

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer 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, vol. 2020-December, pp. 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 (pp. 5394-5400). Article 9304034 (Proceedings of the IEEE Conference on Decision and Control; Vol. 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. p. 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. pp. 5394-5400 (Proceedings of the IEEE Conference on Decision and Control).
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