PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 47(61), pp. 8898 (1990) 

LINEAR OPTIMAL CONTROL PROBLEM IN PLANEVladimir Jankovi\'cMatematicki fakultet, Beograd, YugoslaviaAbstract: The linear optimal time control problem in twodimensional 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. Keywords: Control set, optimal control, maximum principle Classification (MSC2000): 49A10, 49B10 Full text of the article:
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