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Precise error bounds for numerical approximations of fractional HJB equations
Abstract We prove precise rates of convergence for monotone approximation schemes of fractional and nonlocal Hamilton–Jacobi–Bellman equations. We consider diffusion-corrected difference-quadrature schemes from the literature and new approximations based on powers of discrete Laplacians, approximations that are (formally) fractional ...
Chowdhury, Indranil, Jakobsen, Espen R.
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Verification Theorems for HJB equations [PDF]
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Viscosity Solutions to First Order Path-Dependent HJB Equations
25 ...
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In this paper we present a nonlinear optimal control method based on approximating the solution of Hamilton-Jacobi-Bellman (HJB) equation. Value function is approximated as the output of Multilayer Perceptron Neural Network (MLPNN).
Esmat Sadat Alaviyan Shahri +1 more
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Viscosity Solutions to Path-Dependent HJB Equation and Applications
There is a error in the proof of ...
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Tractable Representations for Convergent Approximation of Distributional HJB Equations
In reinforcement learning (RL), the long-term behavior of decision-making policies is evaluated based on their average returns. Distributional RL has emerged, presenting techniques for learning return distributions, which provide additional statistics for evaluating policies, incorporating risk-sensitive considerations.
Alhosh, Julie +2 more
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A fixed point approach for nonlinear HJB equations
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L^\infty-Error estimate for nonlinear HJB equations
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On Computation of Optimal Switching HJB Equation
Proceedings of the 45th IEEE Conference on Decision and Control, 2006This paper proposes an algorithm to compute the optimal switching cost from the dynamic programming Hamilton-Jacobi-Bellman (HJB) equations. For the optimal switching control problem, the HJB equation is a System of Quasi-Variational Inequalities (SQVIs) coupled by a nonlinear operator. By exploring the fundamental limit on the number of switches could
Huan Zhang, Matthew R. James
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HJB Equations Through Backward Stochastic Differential Equations
2017This last chapter of the book completes the picture of the main methods used to study second-order HJB equations in Hilbert spaces and related optimal control problems by presenting a survey of results that can be achieved with the techniques of Backward SDEs in infinite dimension.
Fuhrman, M, Tessitore, G.
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