A splitting algorithm for Hamilton-Jacobi-Bellman equations
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Publication:1339327
DOI10.1016/0168-9274(94)00017-4zbMath0812.65050OpenAlexW2070376330MaRDI QIDQ1339327
Piero Lanucara, Alessandra Seghini, Maurizio Falcone
Publication date: 1 December 1994
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0168-9274(94)00017-4
Hamilton-Jacobi-Bellman equationdynamic programmingfeedbackdomain decompositionnumerical experimentsoptimal trajectoriesviscosity solutionsdeterministic optimal control problems
Numerical optimization and variational techniques (65K10) Dynamic programming in optimal control and differential games (49L20) Hamilton-Jacobi theories (49L99)
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Cites Work
- Unnamed Item
- Corrigenda: A numerical approach to the infinite horizon problem of deterministic control theory
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Approximate solutions of the Bellman equation of deterministic control theory
- Domain decomposition and parallel processing for the numerical solution of partial differential equations
- A relaxation procedure for domain decomposition methods using finite elements
- Discrete dynamic programming and viscosity solutions of the Bellman equation
- Analysis and approximation of the infinite-horizon problem with impulsive controls
- Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- Hamilton-Jacobi Equations with State Constraints
- On Deterministic Control Problems: an Approximation Procedure for the Optimal Cost II. The Nonstationary Case
- Optimal Control with State-Space Constraint I
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Domain decomposition algorithms for solving hamilton-jacobi-bellman equations