Geodesic
Linear Optimal Control Problem in Plane
Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 88 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The linear optimal time control problem in two-dimensional phase space is investigated. The control set is convex compact subset of the phase space, and the class of admissible controls is the class of all controls with at most countably many discontinuities, all of them being of the first kind. Necessary and sufficient conditions, a uniqueness theorem and the existence theorem are proved.
Classification : 49A10 49B10
Keywords: Control set, optimal control, maximum principle 
@article{PIM_1990_N_S_47_61_a12,
     author = {Vladimir Jankovi\'c},
     title = {Linear {Optimal} {Control} {Problem} in {Plane}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {88 },
     year = {1990},
     volume = {_N_S_47},
     number = {61},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a12/}
}
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Vladimir Janković. Linear Optimal Control Problem in Plane. Publications de l'Institut Mathématique, _N_S_47 (1990) no. 61, p. 88 . http://geodesic.mathdoc.fr/item/PIM_1990_N_S_47_61_a12/