Error estimates for second order Hamilton-Jacobi-Bellman equations. Approximation of probabilistic reachable sets
DOI10.3934/dcds.2015.35.3933zbMath1332.65133OpenAlexW2320563143MaRDI QIDQ255791
Hasnaa Zidani, Mohamed Assellaou, Olivier Bokanowski
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2015.35.3933
numerical approximationchance constraintserror estimates for HJB equationslevel-set approachstochastic reachability analysisunbounded and discontinuous value function
Optimal stochastic control (93E20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
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Cites Work
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- Mayer and optimal stopping stochastic control problems with discontinuous cost
- Convex Hamilton-Jacobi equations under superlinear growth conditions on data
- Viscosity solutions for a system of integro-PDEs and connections to optimal switching and control of jump-diffusion processes
- The rate of convergence of finite-difference approximations for Bellman equations with Lipschitz coefficients
- Density estimates for a random noise propagating through a chain of differential equations
- Error estimates for a stochastic impulse control problem
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- On the rate of convergence of finite-difference approximations for Bellman's equations with variable coefficients
- Consistency of a simple multidimensional scheme for Hamilton-Jacobi-Bellman equations
- Mean value theorems for stochastic integrals
- Quantile hedging
- Dynamic programming and error estimates for stochastic control problems with maximum cost
- Probabilistic reachability and safety for controlled discrete time stochastic hybrid systems
- Controlled Markov processes and viscosity solutions
- Semi-Lagrangian schemes for linear and fully non-linear diffusion equations
- Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate
- Reachability and Minimal Times for State Constrained Nonlinear Problems without Any Controllability Assumption
- Stochastic Target Problems with Controlled Loss
- Error estimates for stochastic differential games: the adverse stopping case
- A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations
- Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations
- Computational Approaches to Reachability Analysis of Stochastic Hybrid Systems
- On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman Equations
- An approximation scheme for the optimal control of diffusion processes
- A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games
- Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE
- Simulation and the Monte Carlo Method
- A rate of convergence for monotone finite difference approximations to fully nonlinear, uniformly elliptic PDEs
- Error Bounds for Monotone Approximation Schemes for Hamilton--Jacobi--Bellman Equations
- Hybrid Systems: Computation and Control
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