Analytical and numerical construction of the optimal outcome function for a class of time-optimal problems

DOI10.1007/s10598-008-9007-9zbMath1177.65093OpenAlexW1985669824MaRDI QIDQ1037029

J. Blot

Publication date: 13 November 2009

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-008-9007-9

zbMATH Keywords

Hamilton-Jacobi equationnumerical examplestime-optimal control problemcontrollability wavefront construction algorithms geometrical optics wave equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

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 ⋮ Differential and Algebraical Relations in Singular Sets Construction for a One Class of Time-Optimal Control Problems ⋮ Construction of a solution to a velocity problem in the case of violation of the smoothness of the curvature of the target set boundary

Cites Work

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