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<dc:title xml:lang="pl"><![CDATA[Controllability criteria for time-delay fractional systems with a retarded state]]></dc:title>
<dc:creator><![CDATA[Sikora, Beata]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[fractional dynamical systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[controllability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[delays in the state]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[constraints]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[pseudo-transition matrix]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Caputo derivative]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The paper is concerned with time-delay linear fractional systems with multiple delays in the state. A formula for the solution of the discussed systems is presented and derived using the Laplace transform. Definitions of relative controllability with and without constraints for linear fractional systems with delays in the state are formulated. Relative controllability, both with and without constraints imposed on control values, is discussed. Various types of necessary and sufficient conditions for relative controllability and relative U-controllability are established and proved. Numerical examples illustrate the obtained theoretical results.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2016]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/79191/AMCS_2016_26_3_1.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/89023/edition/79191/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:79191]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=66]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 26, number 3 (2016)]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:89023]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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