View source for On Measures of Non-Integrability of Pfaffian Systems

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