A new algorithm for finding the Minkowski difference of some sets

This article is about the new algorithm for finding the Minkowski difference of sets, a type of Minkowski operator widely used in solving optimal control problems. The work describes the results of scientific research on finding the Minkowski difference of two convex areas of a plane bounded by parabolas. As the main result, the theorems for finding the Minkowski sum and difference of convex sets bounded by parabolas in the plane are derived. Also, the final formulas for finding the Minkowski sum and difference of parabolas given by their canonical equations in the plane are obtained.

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