This article is cited in 7 papers

A problem of the sequential approach of a nonlinear object to two moving points

Yu. I. Berdyshev


Abstract: 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.

UDC: 517.977

Received: 11.03.2004

 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2005, suppl. 1, S43–S53

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