4 papers
Second order optimality conditions in a new Lagrangian formulation for optimal control problems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the…
A new Lagrangian approach to optimal control of second-order systems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
In this work, we propose and study a new approach to formulate the optimal control problem of second-order differential equations, with a particular interest in those derived from…
Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term
Michael Konopik, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya +2
In this work, we analyse the discretisation of a recently proposed new Lagrangian approach to optimal control problems of affine-controlled second-order differential equations with…
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry
Frédéric Jean, Sofya Maslovskaya, Igor Zelenko
H. Weyl in 1921 demonstrated that for a connected manifold of dimension greater than , if two Riemannian metrics are conformal and have the same geodesics up to a reparametrizat…