<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2007-0705</journal-id>
<journal-title><![CDATA[Nova scientia]]></journal-title>
<abbrev-journal-title><![CDATA[Nova scientia]]></abbrev-journal-title>
<issn>2007-0705</issn>
<publisher>
<publisher-name><![CDATA[Universidad de La Salle Bajío A. C., Coordinación de Investigación]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-07052015000200001</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[De la representación de sistemas Euler-Lagrange a la Hamiltoniana generalizada]]></article-title>
<article-title xml:lang="en"><![CDATA[From Euler-Lagrange system representation to the generalized Hamiltonian one]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Alfaro]]></surname>
<given-names><![CDATA[L. H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alcorta-García]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Nuevo León Facultad de Ingeniería Mecánica y Eléctrica ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>MX</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2015</year>
</pub-date>
<volume>7</volume>
<numero>14</numero>
<fpage>1</fpage>
<lpage>23</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-07052015000200001&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-07052015000200001&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-07052015000200001&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[La representación Hamiltoniana generalizada de sistemas brinda una estructura que puede ser utilizada con ventaja en muchas áreas, entre las cuales se puede mencionar el diseño de observadores y el diagnóstico de fallas basado en modelos. Muchos de los trabajos en estos temas tienen como punto de partida al sistema en forma Hamiltoniana generalizada y, en general, se omite la explicación de cómo llegar a esta representación, por ejemplo, a partir de un modelo no lineal basado en las ecuaciones de Euler-Lagrange. En este trabajo se presenta un análisis detallado de cómo es que se obtiene la representación Hamiltoniana generalizada de un sistema a partir de las n ecuaciones diferenciales de segundo orden obtenidas con el formalismo Euler-Lagrange. Con la finalidad de mostrar en lo particular, después del caso general, cómo se obtiene la representación Hamiltoniana generalizada, se presentan algunos casos de estudio.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[The generalized Hamiltonian representation of systems gives structural advantages that can be used in many areas. Some of these are the design of nonlinear observer and model-based fault diagnosis. Many works have as start point the generalized Hamiltonian representation and there is no explication of the way in which this representation is obtained, as for example, starting from the Euler-Lagrange representation of the systems. In this work, a detailed analysis of how this representation is obtained from the n second order differential equations that describe a nonlinear Euler Lagrange system model is presented. In order to show in particular, after the general case, how the generalized Hamiltonian representation is obtained, some case studies are presented.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Representación-Hamiltoniana]]></kwd>
<kwd lng="es"><![CDATA[Euler-Lagrange]]></kwd>
<kwd lng="es"><![CDATA[Ecuaciones Hamilton]]></kwd>
<kwd lng="es"><![CDATA[Transformación]]></kwd>
<kwd lng="en"><![CDATA[Hamiltonian-representation]]></kwd>
<kwd lng="en"><![CDATA[Euler-Lagrange]]></kwd>
<kwd lng="en"><![CDATA[Hamilton-equations]]></kwd>
<kwd lng="en"><![CDATA[transformation]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Goldstein]]></surname>
<given-names><![CDATA[Herbert]]></given-names>
</name>
<name>
<surname><![CDATA[Poole]]></surname>
<given-names><![CDATA[Charles]]></given-names>
</name>
<name>
<surname><![CDATA[Safko]]></surname>
<given-names><![CDATA[John]]></given-names>
</name>
</person-group>
<source><![CDATA[Classical mechanics]]></source>
<year>2000</year>
<edition>Third</edition>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kelly]]></surname>
<given-names><![CDATA[Rafael]]></given-names>
</name>
<name>
<surname><![CDATA[Santibáñez]]></surname>
<given-names><![CDATA[Victor]]></given-names>
</name>
<name>
<surname><![CDATA[Loría]]></surname>
<given-names><![CDATA[Antonio]]></given-names>
</name>
</person-group>
<source><![CDATA[Control of robot manipulators in joint space]]></source>
<year>2005</year>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Krause P.]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Wasynczuk]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Sudhoff]]></surname>
<given-names><![CDATA[S. D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Analysis of electric machinery and drive systems]]></source>
<year>2002</year>
<publisher-name><![CDATA[John Wiley and sons, inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Robust control design techniques using differential evolution algorithms applied to the pvtol]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lara]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Panduro]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Alcorta]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Betancourt]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Intelligent automation and soft computing]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ortega]]></surname>
<given-names><![CDATA[Romeo]]></given-names>
</name>
<name>
<surname><![CDATA[Loría]]></surname>
<given-names><![CDATA[Antonio]]></given-names>
</name>
<name>
<surname><![CDATA[Nicklasson]]></surname>
<given-names><![CDATA[Per J.]]></given-names>
</name>
<name>
<surname><![CDATA[Sira-Ramírez]]></surname>
<given-names><![CDATA[Hebert]]></given-names>
</name>
</person-group>
<source><![CDATA[Passivity based control of Euler Lagrange systems: Mechanical, electrical and electromechanical applications]]></source>
<year>1998</year>
<publisher-loc><![CDATA[Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rodríguez-Alfaro]]></surname>
<given-names><![CDATA[L. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Alcorta-García]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Posadas-Castillo]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Diagnóstico de fallas en sistemas hamiltonianos]]></source>
<year>2012</year>
<publisher-name><![CDATA[Congreso Nacional de Control Automático]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[Synchronization of chaotic systems: a generalized Hamiltonian systems approach]]></article-title>
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sira-Ramirez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Cruz-Hernández]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[International Journal of bifurcation and chaos]]></source>
<year>2001</year>
<volume>11</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>1381-95</page-range></nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Spong]]></surname>
<given-names><![CDATA[Mark W.]]></given-names>
</name>
<name>
<surname><![CDATA[Hutchinson]]></surname>
<given-names><![CDATA[Seth]]></given-names>
</name>
<name>
<surname><![CDATA[Vidyasagar]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Robot modeling and control]]></source>
<year>2006</year>
<publisher-name><![CDATA[John Wiley and sons, inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Van der Schaft]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[L2-Gain and passivity techniques in nonlinear control]]></source>
<year>2000</year>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[D. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Woodson]]></surname>
<given-names><![CDATA[H. H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Electromechanical energy conversion]]></source>
<year>1958</year>
</nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wong]]></surname>
<given-names><![CDATA[K. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Guerrero]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Lara]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Lozano]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Attitude stabilization in over flight of a mini tail-sitter uav with variable pitch propeller]]></source>
<year>2007</year>
<conf-name><![CDATA[ IEEE/RSJ International Conference on Intelligent Robots and Systems]]></conf-name>
<conf-loc> </conf-loc>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
