https://murray.cds.caltech.edu/index.php?action=history&feed=atom&title=On_Measures_of_Non-Integrability_of_Pfaffian_Systems 2026-07-27T09:51:57Z Revision history for this page on the wiki MediaWiki 1.44.2 https://murray.cds.caltech.edu/index.php?title=On_Measures_of_Non-Integrability_of_Pfaffian_Systems&diff=20031&oldid=prev 2016-05-15T06:20:22Z

<p>htdb2wiki: creating page for 1996a_bhsm96-ifac.html</p> <p><b>New page</b></p><div>{{HTDB paper<br /> | authors = Andrjez Banaszuk, John Hauser, Willem Sluis, Richard M. Murray<br /> | title = On Measures of Non-Integrability of Pfaffian Systems<br /> | source = IFAC World Congress, July 1996 <br /> | year = 1996<br /> | type = Paper<br /> | funding = AFOSR<br /> | url = http://www.cds.caltech.edu/~murray/preprints/bhsm96-ifac.pdf<br /> | abstract = <br /> Many problems in nonlinear control theory (like, for instance, feedback<br /> linearization problem) lead to examination of integrability of a Pfaffian<br /> system. In a generic case a Pfaffian system is not integrable. Therefore,<br /> how to approximate nonintegrable Pfaffian systems by integrable ones and how<br /> this approximation can be applied in practice appears to be a natural and<br /> important problem. In the present paper we establish some measures of<br /> non-integrability of Pfaffian system of arbitrary dimension and discuss<br /> their relation to approxiations of non-integrable Pfaffian systems by<br /> integrable ones. Our work is motivated by expected applications to<br /> approximate feedback linearization of multi-input nonlinear systems.<br /> | flags = NoRequest<br /> | tag = bhsm96-ifac<br /> | id = 1996a<br /> }}</div>

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