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		<identifier>oai:zbc.uz.zgora.pl:86179</identifier>
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<dc:title xml:lang="pl"><![CDATA[Stability analysis of interconnected discrete-time fractional-order LTI state-space systems]]></dc:title>
<dc:creator><![CDATA[Grzymkowski, Łukasz]]></dc:creator>
<dc:creator><![CDATA[Trofimowicz, Damian]]></dc:creator>
<dc:creator><![CDATA[Stefański, Tomasz P.]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[stability analysis]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[discrete-time systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[fractional-order systems]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained theoretical results lead to a numerical test for stability evaluation of interconnected FO systems.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[It is based on modern root-finding techniques on the complex plane employing triangulation of the unit circle and Cauchy`s argument principle. The developed numerical test is simple, intuitive and can be applied to a variety of systems. Furthermore, because it evaluates the function related to the characteristic equation on the complex plane, it does not require computation of state-matrix eigenvalues. The obtained numerical results confirm the efficiency of the developed test for the stability analysis of interconnected discrete-time FO LTI state-space systems.]]></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[2020]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86179/AMCS_2020_30_4_4.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101257/edition/86179/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86179]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 30, number 4 (2020)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=118]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101257]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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