Calculation formulas for nonsmooth singularities of the optimal result function in a time-optimal problem

DOI10.1134/S0081543815090163zbMath1336.49051OpenAlexW2233935983MaRDI QIDQ265868

F. Blanchet-Sadri, M. Dambrine

Publication date: 13 April 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815090163

zbMATH Keywords

diffeomorphismsymmetry setnonsmooth singularitiesoptimal result functiontime-optimal problem

Mathematics Subject Classification ID

Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (7)

COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE ⋮ On the structure of the singular set of solutions in one class of 3D time-optimal control problems ⋮ Analytic-numerical approach to construction of minimax solution to the Hamilton-Jacobi equation in three-dimensional space ⋮ On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set ⋮ Derivatives with respect to diffeomorphisms and their applications in control theory and geometrical optics ⋮ Identification of the singularity of the generalized solution of the Dirichlet problem for an eikonal type equation under the conditions of minimal smoothness of a boundary set ⋮ Elements of analytical solutions constructor in a class of time-optimal control problems with the break of curvature of a target set

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