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Nonlinear discrete time systems with inputs in Banach spaces

Title data

Bachmann, Patrick ; Dashkovskiy, Sergey ; Schroll, Andreas:
Nonlinear discrete time systems with inputs in Banach spaces.
In: IFAC-PapersOnLine. Vol. 55 (2022) Issue 30 . - pp. 272-277.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2022.11.064

Project information

Project financing: Deutsche Forschungsgemeinschaft
DFG (grant DA767-12/1)

Abstract in another language

In this paper we study ISS-like properties of infinite dimensional discrete time systems and compare them with their continuous time counterparts available in the literature. New characterizations of such properties are derived in this work. We discuss differences between discrete and continuous time systems in view of their robust stability and demonstrate the corresponding properties by means of examples.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: input-to-state stability; stability of nonlinear systems; stability of distributed parameter systems; robustness analysis
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: 11 Mar 2025 08:23
Last Modified: 11 Mar 2025 08:23
URI: https://eref.uni-bayreuth.de/id/eprint/92726