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		<identifier>oai:zbc.uz.zgora.pl:78666</identifier>
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<dc:title xml:lang="pl"><![CDATA[Extended Lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems]]></dc:title>
<dc:creator><![CDATA[Zhai, Guisheng]]></dc:creator>
<dc:creator><![CDATA[Xu, Xuping]]></dc:creator>
<dc:creator><![CDATA[Lin, Hai]]></dc:creator>
<dc:creator><![CDATA[Lui, Derong]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[switched systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[common quadratic Lyapunov functions]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lie algebra]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[exponential stability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[arbitrary switching]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[dwell time scheme]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[When not all subsystems are stable and the same Lie algebra is solvable, we show that there is a common quadratic Lyapunov-like function for all subsystems and the switched system is exponentially stable under a dwell time scheme. Two numerical examples are provided to demonstrate the result.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:date><![CDATA[2007]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/78666/AMCS_2007_17_4_2.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88422/edition/78666/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:78666]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 17, number 4 (2007)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=30]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88422]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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