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On Measures of Non-Integrability of Pfaffian Systems
Abstract Many problems in nonlinear control theory …
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.
rization of multi-input nonlinear systems.  +
Authors Andrjez Banaszuk, John Hauser, Willem Sluis, Richard M. Murray  +
Flags NoRequest  +
ID 1996a  +
Source IFAC World Congress, July 1996  +
Tag bhsm96-ifac  +
Title On Measures of Non-Integrability of Pfaffian Systems +
Type Paper  +
Categories Papers
Modification date
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15 May 2016 06:20:22  +
URL
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http://www.cds.caltech.edu/~murray/preprints/bhsm96-ifac.pdf  +
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On Measures of Non-Integrability of Pfaffian Systems + Title
 

 

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