http://www.cds.caltech.edu/~murray/wiki/index.php?title=Differential_Flatness_of_Two_One-Forms_in_Arbitrary_Number_of_Variables&feed=atom&action=historyDifferential Flatness of Two One-Forms in Arbitrary Number of Variables - Revision history2020-08-05T11:16:21ZRevision history for this page on the wikiMediaWiki 1.23.12http://www.cds.caltech.edu/~murray/wiki/index.php?title=Differential_Flatness_of_Two_One-Forms_in_Arbitrary_Number_of_Variables&diff=20019&oldid=prevMurray: htdb2wiki: creating page for 1996n_rm97-ecc.html2016-05-15T06:20:11Z<p>htdb2wiki: creating page for 1996n_rm97-ecc.html</p>
<p><b>New page</b></p><div>{{HTDB paper<br />
| authors = Muruhan Rathinam and Richard M. Murray<br />
| title = Differential Flatness of Two One-Forms in Arbitrary Number of Variables<br />
| source = <i>Systems and Control Letters</i>, 36:317-326, 1999.<br />
| year = 1996<br />
| type = Conference paper<br />
| funding = NSF<br />
| url = http://www.cds.caltech.edu/~murray/preprints/rm97-ecc.pdf<br />
| abstract = Given a differentially flat system of ODEs, flat outputs that depend only on original<br />
variables but not on their derivatives are called zero-flat outputs and systems possessing<br />
such outputs are called zero-flat. In this paper we present a theory of zero-flatness for<br />
a system of two one-forms in arbitrary number of variables $(t,x^1,\dots,x^N)$. Our<br />
approach splits the task of finding zero-flat outputs into two parts. First part involves<br />
solving for distributions that satisfy a set of algebraic conditions. If the first part<br />
has no solution then the system is not zero-flat. The second part involves finding an<br />
integrable distribution from the solution set of the first part. Typically this part<br />
involves solving PDEs. Our results are also applicable in determining if a control affine<br />
system in $n$ states and $n-2$ controls has flat outputs that depend only on states. We<br />
illustrate our method by examples. <br />
| flags = <br />
| tag = rm97-ecc<br />
| id = 1996n<br />
}}</div>Murray