Dergi makalesi Açık Erişim
Dzhafarov, V. Ya.; Subbotina, N. N.
{
"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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