Geodesic
A~problem of the sequential approach of a~nonlinear object to two moving points
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 43-52

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A problem of the fastest sequential approach of a nonlinear controlled object to two moving points is studied. A system of nonlinear differential equations describing a simplest model of the motion of an aircraft (car) in the horizontal plane is used. The structure of optimal trajectories is determined and an algorithm of their construction is suggested. 
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     author = {Yu. I. Berdyshev},
     title = {A~problem of the sequential approach of a~nonlinear object to two moving points},
     journal = {Trudy Instituta matematiki i mehaniki},
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Yu. I. Berdyshev. A~problem of the sequential approach of a~nonlinear object to two moving points. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 43-52. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a4/