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  <doc>
    <id>1407</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2011-09-26</completedDate>
    <publishedDate>2011-09-26</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On the Length of the Primal-Dual Path in Moreau-Yosida-based  Path-following for State Constrained Optimal Control: Analysis and Numerics</title>
    <abstract language="eng">We derive a-priori estimates on the length of the primal-dual path that results from a&#13;
Moreau-Yosida approximation of the feasible set for state constrained optimal control problems. These bounds depend on the regularity of the state and the dimension of the&#13;
problem. Comparison with numerical results indicates that these bounds are sharp and&#13;
are attained for the case of a single active point.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="serial">11-37</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-14071</identifier>
    <author>Anton Schiela</author>
    <submitter>Anton Schiela</submitter>
    <author>Michael Hintermüller</author>
    <series>
      <title>ZIB-Report</title>
      <number>11-37</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>PDE constrained optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>path-following</value>
    </subject>
    <collection role="msc" number="49-XX">CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1407/ZR-11-37.pdf</file>
  </doc>
</export-example>
