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Problems of bounded or minimized variation of the vector function of system coordinates. (English. Russian original) Zbl 1062.49500

Autom. Remote Control 59, No. 7, Part 1, 950-959 (1998); translation from Avtom. Telemekh. 1998, No. 7, 54-66 (1998).
Summary: For an optimal control problem with bounded or minimized total variation of a given vector function of the coordinates of a nonlinear system, a necessary condition for its extremum is given and illustrated by examples.

MSC:

49K15 Optimality conditions for problems involving ordinary differential equations