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]](https://bibbase.org/img/filetypes/link.svg "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},
}
Downloads: 0
{"_id":"6RNwyKeP2x7iQphdz","bibbaseid":"iannelli-johansson-jnsson-vasca-ontheaveragingofaclassofhybridsystems-2004","author_short":["Iannelli, L.","Johansson, K. H","Jönsson, U. T","Vasca, F."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","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":[{"propositions":[],"lastnames":["Iannelli"],"firstnames":["Luigi"],"suffixes":[]},{"propositions":[],"lastnames":["Johansson"],"firstnames":["Karl","H"],"suffixes":[]},{"propositions":[],"lastnames":["Jönsson"],"firstnames":["Ulf","T"],"suffixes":[]},{"propositions":[],"lastnames":["Vasca"],"firstnames":["Francesco"],"suffixes":[]}],"year":"2004","note":"Journal Abbreviation: ProcCDC","pages":"1400–1405","bibtex":"@inproceedings{iannelli_averaging_2004,\n\ttitle = {On the averaging of a class of hybrid systems},\n\tvolume = {2},\n\tcopyright = {All rights reserved},\n\turl = {http://ieeexplore.ieee.org/search/freesrchabstract.jsp?tp=&arnumber=1430239},\n\tdoi = {10.1109/CDC.2004.1430239},\n\tabstract = {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.},\n\tbooktitle = {{ProcCDC}},\n\tauthor = {Iannelli, Luigi and Johansson, Karl H and Jönsson, Ulf T and Vasca, Francesco},\n\tyear = {2004},\n\tnote = {Journal Abbreviation: ProcCDC},\n\tpages = {1400--1405},\n}\n\n","author_short":["Iannelli, L.","Johansson, K. H","Jönsson, U. T","Vasca, F."],"key":"iannelli_averaging_2004","id":"iannelli_averaging_2004","bibbaseid":"iannelli-johansson-jnsson-vasca-ontheaveragingofaclassofhybridsystems-2004","role":"author","urls":{"Paper":"http://ieeexplore.ieee.org/search/freesrchabstract.jsp?tp=&arnumber=1430239"},"metadata":{"authorlinks":{}},"html":""},"bibtype":"inproceedings","biburl":"https://bibbase.org/zotero/liannelli","dataSources":["kkspM7r2Ng43ZRLPr"],"keywords":[],"search_terms":["averaging","class","hybrid","systems","iannelli","johansson","jönsson","vasca"],"title":"On the averaging of a class of hybrid systems","year":2004}