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The sufficient conditions for continuous epsilon-optimal feedbacks in control problems with a terminal cost

Dzhafarov, V. Ya.; Subbotina, N. N.


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  <dc:creator>Dzhafarov, V. Ya.</dc:creator>
  <dc:creator>Subbotina, N. N.</dc:creator>
  <dc:date>2011-01-01</dc:date>
  <dc:description>The existence of continuous positional strategies of epsilon-optimal feedback is proved for linear optimal control problems with a convex terminal cost. These continuous feedbacks are determined from Bellman's equation in epsilon-perturbed control problems with an integral-terminal cost and a smooth value function. An example is given in which an epsilon-optimal continuous feedback does not exist. It is shown that the point limit of the epsilon-optimal feedbacks when epsilon -&gt; 0 determines the optimal feedback, that is, a positional strategy and, possibly, a discontinuous strategy. (C) 2011 Elsevier Ltd. All rights reserved.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/21489</dc:identifier>
  <dc:identifier>oai:zenodo.org:21489</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 75(3) 334-342</dc:source>
  <dc:title>The sufficient conditions for continuous epsilon-optimal feedbacks in control problems with a terminal cost</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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