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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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{
  "DOI": "10.1016/j.jappmathmech.2011.07.011", 
  "abstract": "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 -> 0 determines the optimal feedback, that is, a positional strategy and, possibly, a discontinuous strategy. (C) 2011 Elsevier Ltd. All rights reserved.", 
  "author": [
    {
      "family": "Dzhafarov", 
      "given": " V. Ya."
    }, 
    {
      "family": "Subbotina", 
      "given": " N. N."
    }
  ], 
  "container_title": "PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS", 
  "id": "21489", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2011, 
        1, 
        1
      ]
    ]
  }, 
  "page": "334-342", 
  "title": "The sufficient conditions for continuous epsilon-optimal feedbacks in control problems with a terminal cost", 
  "type": "article-journal", 
  "volume": "75"
}
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