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	<owl:Ontology rdf:about="https://murray.cds.caltech.edu/Special:ExportRDF/On_Measures_of_Non-2DIntegrability_of_Pfaffian_Systems">
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		<rdfs:label>On Measures of Non-Integrability of Pfaffian Systems</rdfs:label>
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		<property:Abstract rdf:datatype="http://www.w3.org/2001/XMLSchema#string">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.</property:Abstract>
		<property:Authors rdf:datatype="http://www.w3.org/2001/XMLSchema#string">Andrjez Banaszuk, John Hauser, Willem Sluis, Richard M. Murray</property:Authors>
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		<property:Source rdf:datatype="http://www.w3.org/2001/XMLSchema#string">IFAC World Congress, July 1996</property:Source>
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