Title data
Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Rüffer, Björn ; Wirth, Fabian:
Non-conservative discrete-time ISS small-gain conditions for closed sets.
In: IEEE Transactions on Automatic Control.
Vol. 63
(2018)
Issue 5
.
- pp. 1231-1242.
ISSN 1558-2523
DOI: https://doi.org/10.1109/TAC.2017.2735194
This is the latest version of this item.
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Project information
Project title: |
Project's official title Project's id Humboldt Fellowship for Navid Noroozi No information |
---|---|
Project financing: |
Alexander von Humboldt-Stiftung |
Abstract in another language
This paper presents a unification and a generalization of the small-gain theory subsuming a wide range of existing small-gain theorems. In particular, we introduce small-gain conditions that are necessary and sufficient to ensure input-to-state stability (ISS) with respect to closed sets. Toward this end, we first develop a Lyapunov characterization of ω ISS via finite-step ω ISS Lyapunov functions. Then, we provide the small-gain conditions to guarantee ωISS of a network of systems. Finally, applications of our results to partial ISS, ISS of time-varying systems, synchronization problems, incremental stability, and distributed observers are given.
Further data
Available Versions of this Item
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Non-conservative small-gain conditions for input-to-state stability with respect to not-necessarily compact sets. (deposited 14 Dec 2016 07:35)
- Non-conservative discrete-time ISS small-gain conditions for closed sets. (deposited 08 Aug 2017 06:20) [Currently Displayed]