Dwell-time conditions for robust stability of impulsive systems

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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

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Abstract

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.