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Dwell-time conditions for robust stability of impulsive systems

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

Official URL: Volltext

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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