Title data
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.
Vol. 67
(2022)
.
- 100634.
ISSN 1435-5671
DOI: https://doi.org/10.1016/j.ejcon.2022.100634
Related URLs
Abstract in another language
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.
Further data
Item Type: | Article in a journal |
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Refereed: | Yes |
Additional notes: | 9 pp. |
Keywords: | interconnected systems; input-to-state stability; small-gain theorem; Lyapunov methods |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields > Advanced Fields > Nonlinear Dynamics |
Result of work at the UBT: | No |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 17 Mar 2025 09:19 |
Last Modified: | 17 Mar 2025 09:19 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92852 |