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Bachmann, Patrick ; Bajcinca, Naim:
Average dwell-time conditions for input-to-state stability of impulsive systems.
In: IFAC-PapersOnLine.
Bd. 53
(2020)
Heft 2
.
- S. 1980-1985.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2020.12.2564
Abstract
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.
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| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Keywords: | Impulsive system; hybrid dynamical system; input-to-state stability; dwell-time condition; Lyapunov function; stability and stabilization of hybrid systems |
| Institutionen der Universität: | Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik) Profilfelder > Advanced Fields > Nichtlineare Dynamik |
| Titel an der UBT entstanden: | Nein |
| Themengebiete aus DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Eingestellt am: | 11 Mär 2025 08:32 |
| Letzte Änderung: | 11 Mär 2025 08:32 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92728 |