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<dc:title xml:lang="pl"><![CDATA[The stability of an irrigation canal system]]></dc:title>
<dc:creator><![CDATA[Bounit, Hamid]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[Saint-Venant equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[dimensionless]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[symmetric hyperbolic equation]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[internal stability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[transfer function]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[input-output stability]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[regular systems]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential (or internal) stability of the semigroup underlying the system.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[Next, we compute explicitly the transfer functions of the system and we show that the input-output (or external) stability holds. Finally, we prove that the system is regular in the sense of (Weiss, 1994) and give various properties related to its transfer functions.]]></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[2003]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/59055/AMCS_2003_13_4_2.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65918/edition/59055/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:59055]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 13, number 4 (2003)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=paper&paper=161]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65918]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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