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Regular version of the site

Book chapter

On optimal solutions in a problem with two-dimensional bounded control

P. 90-93.
L.A. Manita, Ronzhina M.

We consider an optimal control problem that is affine in two-dimensional control. The origin is a singular trajectory in this problem. We study the structure of optimal solutions in a neighborhood of the origin. We use the resolution of singularity via blow up and the invariant manifold theorems to find a family of optimal solutions.