Title data
Dashkovskiy, Sergey ; Mironchenko, Andrii:
Dwell-time conditions for robust stability of impulsive systems.
In:
Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems. -
Melbourne, Australia
,
2012
DOI: https://doi.org/10.48550/arXiv.1202.3351
Related URLs
Abstract in another language
We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for time sequences, which satisfy the fixed dwell-time condition. If the ISS Lyapunov function is the exponential one, we provide stronger result, which guarantees uniform ISS of the whole system over sequences, which satisfy the generalized average dwell-time condition.
Further data
Item Type: | Article in a book |
---|---|
Refereed: | Yes |
Keywords: | dwell-time; hybrid systems; impulsive systems; ISS; Lyapunov methods |
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 10:01 |
Last Modified: | 10 Mar 2025 10:01 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92705 |