most citedCut time and optimal synthesis in sub-Riemannian problem on the group of motions of a plane

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math.OC2009★ 2 cited

Cut time and optimal synthesis in sub-Riemannian problem on the group of motions of a plane

Yu. L. Sachkov

A solution to the left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is obtained. Local and global optimality of extremal trajectorie…