at Google ScholarTitle data
Dashkovskiy, Sergey ; Mironchenko, Andrii:
Constructions of ISS-Lyapunov functions for interconnected impulsive systems.
In:
51st IEEE Conference on Decision and Control (CDC) : Proceedings. -
Piscataway, NJ, USA
: IEEE
,
2012
. - pp. 6831-6836
ISBN 978-1-4673-2065-8
DOI: https://doi.org/10.1109/CDC.2012.6426871
Related URLs
Abstract in another language
In this paper we provide two small-gain theorems for impulsive systems. The first of them provides a construction of an ISS-Lyapunov function for interconnections of impulsive systems if ISS-Lyapunov functions for subsystems are given and a small-gain condition holds. If, in addition, these given ISS-Lyapunov functions are exponential then the second theorem provides a construction of an exponential ISS-Lyapunov function for the interconnection if the gains are power functions.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| Keywords: | hybrid systems; impulsive systems; ISS; Lyapunov methods; small-gain theorems |
| 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: | 10 Mar 2025 10:21 |
| Last Modified: | 10 Mar 2025 11:35 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92706 |