<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>22260</id>
    <completedYear/>
    <publishedYear>2018</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>837</pageFirst>
    <pageLast>861</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>46</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2018-09-11</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Regulator Problems on Unbounded Domains : Stationarity–Optimal Control–Asymptotic Controllability</title>
    <abstract language="eng">In this paper, we consider a class of infinite horizon variational and control problems arising from economics, quantum mechanics, and stabilization. Herein, we assume that the objective is of regulator type. The problem setting implies a weighted Sobolev space as the state space. For this class of problems, we establish necessary optimality conditions in a form of a Pontryagin type maximum principle. A duality concept of convex analysis is provided and used to find sufficient optimality conditions and to motivate a dual approximation scheme. We apply the theoretical results to find an asymptotically stabilizing control for a linearized Lotka–Volterra type system.</abstract>
    <parentTitle language="eng">Vietnam Journal of Mathematics</parentTitle>
    <identifier type="doi">10.1007/s10013-018-0304-0</identifier>
    <identifier type="issn">2305-2228</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <author>
      <firstName>Sabine</firstName>
      <lastName>Pickenhain</lastName>
    </author>
    <submitter>
      <firstName>Henriette</firstName>
      <lastName>Dräger</lastName>
    </submitter>
    <author>
      <firstName>Angie</firstName>
      <lastName>Burtchen</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Weighted functional spaces</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Asymptotic controllability</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Infinite horizon</value>
    </subject>
    <collection role="institutes" number="1306">FG Mathematik insbesondere Optimierung</collection>
  </doc>
</export-example>
