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<dc:title xml:lang="pl"><![CDATA[J-energy preserving well-posed linear systems]]></dc:title>
<dc:creator><![CDATA[Staffans, Olof J.]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[well-posed linear system]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[system node]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[transfer function]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lax-Phillips semigroup]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[dissipative systems]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[conservative system]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[model theory]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[conservative realization]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[J-energy-preserving system]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lyapunov equations]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Riccati equation]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foiaş.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Curtain, Ruth - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kaashoek, Rien - ed.]]></dc:contributor>
<dc:date><![CDATA[2001]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/58817/AMCS_2001_11_6_8.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/65603/edition/58817/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:58817]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 11, number 6 (2001)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=64]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:65603]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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