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Regular version of the site

Book chapter

Optimal Solutions in a Neighborhood of a Singular Extremal for a Problem with Two-Dimensional Control

P. 94-96.
Lokutsievskiy L., Manita L., Ronzhina M.

We consider an optimal control problem that is affine in two-dimensional bounded control. We study a behavior of solutions
in a neighborhood of a singular extremal. We show that there exists optimal spiral-similar solution which attains the
singular point in finite time making a countable number of rotations.