at Google ScholarTitle data
Bachmann, Patrick ; Bajcinca, Naim:
Average dwell-time conditions for input-to-state stability of impulsive systems.
In: IFAC-PapersOnLine.
Vol. 53
(2020)
Issue 2
.
- pp. 1980-1985.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2020.12.2564
Abstract in another language
This paper suggests a sufficient condition for input-to-state stability of impulsive control systems on Banach spaces. The derived conditions determine average dwell-time constraints for a candidate Lyapunov function parametrized by a class of nonlinear rate functions in order to guarantee the ISS property. Thereby, we consider a generalized case with (possibly) unstable continuous ow maps and assume the jumps, rather than the continuous ow to induce a stabilizing influence on the system dynamics of the impulsive system. Compared to some well-known related and recent results in the literature, including fixed dwell-time conditions, the obtained conditions are generalizing and less conservative, while offering a higher flexibility in the choice of candidate Lyapunov functions.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Impulsive system; hybrid dynamical system; input-to-state stability; dwell-time condition; Lyapunov function; stability and stabilization of hybrid systems |
| 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 08:32 |
| Last Modified: | 11 Mar 2025 08:32 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92728 |