Geometry of the discrete Hamilton-Jacobi equation: applications in optimal control

DOI10.1016/S0034-4877(18)30019-3zbMath1398.70040arXiv1704.04907OpenAlexW2962798532MaRDI QIDQ1801026

Cristina Sardón, Manuel de León

Publication date: 26 October 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04907

zbMATH Keywords

optimal controldiscrete mechanicsdiscrete Hamilton-Jacobi equationdiscrete flowsdiscrete vector fieldsdiscrete geometric Hamilton-Jacobi theorydiscrete Hamilton equations

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Discrete version of topics in analysis (39A12) Hamilton-Jacobi equations in mechanics (70H20) Hamilton-Jacobi equations (35F21)

Related Items (4)

Discrete Hamilton–Jacobi theory for systems with external forces ⋮ Geometric Hamilton–Jacobi theory for systems with external forces ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities

Cites Work

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• Discrete mechanics and variational integrators
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Lectures on Mechanics
• Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation
• Discrete variational Hamiltonian mechanics

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