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		<identifier>oai:zbc.uz.zgora.pl:85797</identifier>
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<dc:title xml:lang="pl"><![CDATA[Minimal positive realizations of linear continuous-time fractional descriptor systems: Two cases of an input-output digraph structure]]></dc:title>
<dc:creator><![CDATA[Markowski, Konrad Andrzej]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[fractional systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[positive systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[descriptor systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[realization]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[digraph structure]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[digraph mask]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[algorithm]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In the last two decades, fractional calculus has become a subject of great interest in various areas of physics, biology, economics and other sciences. The idea of such a generalization was mentioned by Leibniz and L`Hospital. Fractional calculus has been found to be a very useful tool for modeling linear systems. In this paper, a method for computation of a set of a minimal positive realization of a given transfer function of linear fractional continuous-time descriptor systems has been presented.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The proposed method is based on digraph theory. Also, two cases of a possible input-output digraph structure are investigated and discussed. It should be noted that a digraph mask is introduced and used for the first time to solve a minimal positive realization problem. For the presented method, an algorithm was also constructed. The proposed solution allows minimal digraph construction for any one-dimensional fractional positive system. The proposed method is discussed and illustrated in detail with some numerical examples.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Aitouche, Abdel - ed.]]></dc:contributor>
<dc:date><![CDATA[2018]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/85797/AMCS_2018_28_1_1.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/100729/edition/85797/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:85797]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 28, number 1 (2018)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=107]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:100729]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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