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<dc:title xml:lang="pl"><![CDATA[Motion planning, equivalence, infinite dimensional systems]]></dc:title>
<dc:creator><![CDATA[Rouchon, Pierre]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[infinite dimensional control systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[motion planning]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[flatness, absolute equivalence]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Pfaffian systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[delay systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Gevrey functions]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[Motion planning, i.e., steering a system from one state to another, is a basic question in automatic control. For a certain class of systems described by ordinary differential equations and called flat systems (Fliess et al., 1995; 1999a), motion planning admits simple and explicit solutions.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[This stems from an explicit description of the trajectories by an arbitrary time function y, the flat output, and a finite number of its time derivatives. Such explicit descriptions are related to old problems on Monge equations and equivalence investigated by Hilbert and Cartan.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The study of several examples (the car with n-trailers and the non-holonomic snake, pendulums in series and the heavy chain, the heat equation and the Euler-Bernoulli exible beam) indicates that the notion of flatness and its underlying explicit description can be extended to infinite-dimensional systems.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[As in the finite-dimensional case, this property yields simple motion planning algorithms via operators of compact support. For the non-holonomic snake, such operators involve non-linear delays. For the heavy chain, they are defined via distributed delays. For heat and Euler-Bernoulli systems, their supports are reduced to a point and their definition domain coincides with the set of Gevrey functions of order 2.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Fliess, Michel - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Jai, Abdelhaq El - ed.]]></dc:contributor>
<dc:date><![CDATA[2001]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/58760/AMCS_2001_11_1_7.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65541/edition/58760/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:58760]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 11, number 1 (2001)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=7]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65541]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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