In *ProcCDC*, volume 2, pages 1400–1405, 2004. Journal Abbreviation: ProcCDC

Paper doi abstract bibtex

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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