at Google ScholarTitle data
Bachmann, Patrick ; Dashkovskiy, Sergey ; Mironchenko, Andrii:
Superposition theorems for input-to-output stability of infinite dimensional systems.
In:
2024 IEEE 63rd Conference on Decision and Control (CDC) : Proceedings. -
Piscataway, NJ, USA
: IEEE
,
2024
. - pp. 3434-3439
ISBN 979-8-3503-1633-9
DOI: https://doi.org/10.1109/CDC56724.2024.10886548
Project information
| Project title: |
Project's official title Project's id Lyapunov theory meets boundary control systems MI 1886/2-2 |
|---|---|
| Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
We characterize input-to-output stability of a general class of both continuous-time and discrete-time infinite dimensional systems in terms of weaker stability properties. Our results generalize the corresponding criteria for ordinary differential equations achieved by Ingalls et al. [1] and those for infinite dimensional systems for which the output equals the state [2]. This way, we investigate the relation between several stability and attractivity properties for infinite dimensional systems with outputs by providing the according implications and giving counterexamples, respectively.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | distributed parameter systems; stability of nonlinear systems; nonlinear systems; input-to-state stability; input-to-output stability |
| 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: | 06 Mar 2025 09:13 |
| Last Modified: | 06 Mar 2025 10:11 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92637 |