<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2020000100098</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.66.98</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Trajectory tracking error using fractional order time-delay recurrent neural networks using Krasovskii-Lur&#8217;e functional for Chua&#8217;s circuit via inverse optimal control]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez Padrón]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Pérez Padrón]]></surname>
<given-names><![CDATA[J.P.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mendez-Barrios]]></surname>
<given-names><![CDATA[C.F.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[González-Galván]]></surname>
<given-names><![CDATA[E.J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de Nuevo León Facultad de Ciencias Fisico-Matematicas ]]></institution>
<addr-line><![CDATA[San Nicolás de los Garza Nuevo León]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Centro de Investigación y Estudios de Posgrado Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[San Luis Potosí S.L.P.]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Centro de Investigación y Estudios de Posgrado Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[San Luis Potosí S.L.P.]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>02</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>02</month>
<year>2020</year>
</pub-date>
<volume>66</volume>
<numero>1</numero>
<fpage>98</fpage>
<lpage>104</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2020000100098&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2020000100098&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2020000100098&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This paper presents an application of a Fractional-Order Time Delay Neural Networks to chaos synchronization. The two main methodologies, on which the approach is based, are fractional-order time-delay recurrent neural networks and the fractional-order inverse optimal control for nonlinear systems. The problem of trajectory tracking is studied, based on the fractional-order Lyapunov-Krasovskii and Lur&#8217;e theory, that achieves the global asymptotic stability of the tracking error between a delayed recurrent neural network and a reference function is obtained. The method is illustrated for the synchronization, the analytic results we present a trajectory tracking simulation of a fractional-order time-delay dynamical network and the Fractional Order Chua&#8217;s circuits.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Trajectory tracking]]></kwd>
<kwd lng="en"><![CDATA[fractional order time-delay recurrent neural network]]></kwd>
<kwd lng="en"><![CDATA[fractional order Lyapunov-Krasovskii and Lur&#8217;e analysis]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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