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024 7 $a10.1007/978-3-319-08690-3
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100   $a20140717d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aControl of nonholonomic systems: from sub-Riemannian geometry to motion planning /$fby Frédéric Jean
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (112 p.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $aDescription based upon print version of record.
311   $a3-319-08689-8 
320   $aIncludes bibliographical references at the end of each chapters.
327   $a1 Geometry of nonholonomic systems -- 2 First-order theory -- 3 Nonholonomic motion planning -- 4 Appendix A: Composition of flows of vector fields -- 5 Appendix B: The different systems of privileged coordinates.
330   $aNonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems. In particular the usual notions of approximations at the first order, that are essential for control purposes, have to be defined in terms of this geometry. The aim of these notes is to present these notions of approximation and their application to the motion planning problem for nonholonomic systems.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aSystem theory
606   $aGeometry, Differential
606   $aArtificial intelligence
606   $aMathematics
606   $aComputer science
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000
606   $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009
606   $aComputer Science, general$3https://scigraph.springernature.com/ontologies/product-market-codes/I00001
615  0$aSystem theory.
615  0$aGeometry, Differential.
615  0$aArtificial intelligence.
615  0$aMathematics.
615  0$aComputer science.
615 14$aSystems Theory, Control.
615 24$aDifferential Geometry.
615 24$aArtificial Intelligence.
615 24$aMathematics, general.
615 24$aComputer Science, general.
676   $a514.74
700   $aJean$b Frédéric$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721265
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299992503321
996   $aControl of nonholonomic systems$91409850
997   $aUNINA