On the averaging of a class of hybrid systems. Iannelli, L., Johansson, K. H, Jönsson, U. T, & Vasca, F. In ProcCDC, volume 2, pages 1400–1405, 2004. Journal Abbreviation: ProcCDC
On the averaging of a class of hybrid systems [link]Paper  doi  abstract   bibtex   
Modeling abstraction and time-scale separation in the design of complex systems often leads to hybrid dynamics. Discontinuities in the continuous evolution of a hybrid system may however create difficulties in the formal analysis, as well as in numerical simulation and verification. Here we study a class of hybrid systems that are excited by high-frequency external signals. These systems arise in the modeling of switched power converters, mechanical systems with friction and quantized systems. For a quite general class of excitation signals, an averaging result is shown stating that the hybrid system can be approximated by a Lipschitz-continuous system. The approximation is in the order of the maximal repetition interval of the excitation signal.
@inproceedings{iannelli_averaging_2004,
	title = {On the averaging of a class of hybrid systems},
	volume = {2},
	copyright = {All rights reserved},
	url = {http://ieeexplore.ieee.org/search/freesrchabstract.jsp?tp=&arnumber=1430239},
	doi = {10.1109/CDC.2004.1430239},
	abstract = {Modeling abstraction and time-scale separation in the design of complex systems often leads to hybrid dynamics. Discontinuities in the continuous evolution of a hybrid system may however create difficulties in the formal analysis, as well as in numerical simulation and verification. Here we study a class of hybrid systems that are excited by high-frequency external signals. These systems arise in the modeling of switched power converters, mechanical systems with friction and quantized systems. For a quite general class of excitation signals, an averaging result is shown stating that the hybrid system can be approximated by a Lipschitz-continuous system. The approximation is in the order of the maximal repetition interval of the excitation signal.},
	booktitle = {{ProcCDC}},
	author = {Iannelli, Luigi and Johansson, Karl H and Jönsson, Ulf T and Vasca, Francesco},
	year = {2004},
	note = {Journal Abbreviation: ProcCDC},
	pages = {1400--1405},
}

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