at Google ScholarTitle data
Bachmann, Patrick ; Ahmed, Saeed:
Construction of time-varying ISS-Lyapunov functions for impulsive systems.
In: IFAC-PapersOnLine.
Vol. 56
(2023)
Issue 1
.
- pp. 1-6.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2023.02.001
Related URLs
Project information
| Project financing: |
Andere Dutch Research Council (NWO) (grant ESI.2019.005) |
|---|
Abstract in another language
Time-varying ISS-Lyapunov functions for impulsive systems provide a necessary and sufficient condition for ISS. This property makes them a more powerful tool for stability analysis than classical candidate ISS-Lyapunov functions providing only a sufficient ISS condition. Moreover, time-varying ISS-Lyapunov functions cover systems with simultaneous instability in continuous and discrete dynamics for which candidate ISS-Lyapunov functions remain inconclusive. The present paper links these two concepts by suggesting a method of constructing time-varying ISS-Lyapunov functions from candidate ISS-Lyapunov functions, thereby effectively combining the ease of construction of candidate ISS-Lyapunov functions with the guaranteed existence of time-varying ISS-Lyapunov functions.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | impulsive systems; input-to-state stability; ISS-Lyapunov function |
| Subject classification: | arXiv Subjects: eess.SY |
| 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 08:14 |
| Last Modified: | 11 Mar 2025 08:14 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92725 |