Titelangaben
Noroozi, Navid ; Mironchenko, Andrii ; Kawan, Christoph ; Zamani, Majid:
A small-gain theorem for set stability of infinite networks : Distributed observation and ISS for time-varying networks.
In: European Journal of Control.
Bd. 67
(2022)
.
- 100634.
ISSN 1435-5671
DOI: https://doi.org/10.1016/j.ejcon.2022.100634
Weitere URLs
Abstract
We generalize a small-gain theorem for a network of infinitely many systems, recently developed in [Kawan et. al, IEEE TAC (2021)]. The generalized small-gain theorem addresses exponential input-to-state stability with respect to closed sets, which enables us to study diverse control-theoretic problems in a unified manner, and it also allows for agents to have infinitely many neighbors. The small-gain condition, expressed in terms of the spectral radius of a gain operator collecting all the information about the internal Lyapunov gains, has several useful characterizations which simplify the verification of the condition. To demonstrate applicability of our small-gain theorem, we apply it to the stability analysis of infinite time-varying networks as well as the design of distributed observers for infinite networks.
Weitere Angaben
Publikationsform: | Artikel in einer Zeitschrift |
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Begutachteter Beitrag: | Ja |
Zusätzliche Informationen: | 9 pp. |
Keywords: | interconnected systems; input-to-state stability; small-gain theorem; Lyapunov methods |
Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) Profilfelder > Advanced Fields > Nichtlineare Dynamik |
Titel an der UBT entstanden: | Nein |
Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
Eingestellt am: | 17 Mär 2025 09:19 |
Letzte Änderung: | 17 Mär 2025 09:19 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92852 |