27 citations · 54 across the 3 of their papers we have counts for
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math.OC2008★ 1 cited
Maxwell strata in sub-Riemannian problem on the group of motions of a plane
I. Moiseev, Yu. L. Sachkov
The left-invariant sub-Riemannian problem on the group of motions of a plane is considered. Sub-Riemannian geodesics are parametrized by Jacobi's functions. Discrete symmetries of…
math.OC2007★ 27 cited
Conjugate points in Euler's elastic problem
Yu. L. Sachkov
For the classical Euler's elastic problem, conjugate points are described. Inflectional elasticae admit the first conjugate point between the first and the third inflection points.…
math.OC2007★ 26 cited
Maxwell strata in Euler's elastic problem
Yu. L. Sachkov
The classical Euler's problem on stationary configurations of elastic rod with fixed endpoints and tangents at the endpoints is considered as a left-invariant optimal control probl…