Geodesic
Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 30-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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Singular lines and nonsmooth singularities of cost function in one class of optimal-time problems are studied. Equations for their end points are written. Their relation with the geometry of the goal set is shown. Connection of the optimal-time problem and the first order PDE with boundary condition is ascertained. Examples of some problems' solving and graphs of solutions are given.
Keywords: optimal-time control problem, disperse line, pseudoverticle of the set. 
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A. A. Uspenskii; P. D. Lebedev. Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 30-41. http://geodesic.mathdoc.fr/item/VUU_2010_3_a4/

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