Results 1 to 10 of about 9,054 (140)

Forward-Backward Sweep Method for the System of HJB-FP Equations in Memory-Limited Partially Observable Stochastic Control [PDF]

open access: yesEntropy, 2023
Memory-limited partially observable stochastic control (ML-POSC) is the stochastic optimal control problem under incomplete information and memory limitation.
Takehiro Tottori, Tetsuya J. Kobayashi
doaj   +2 more sources

Optimal Consumption in a Stochastic Ramsey Model with Cobb-Douglas Production Function [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
A stochastic Ramsey model is studied with the Cobb-Douglas production function maximizing the expected discounted utility of consumption. We transformed the Hamilton-Jacobi-Bellman (HJB) equation associated with the stochastic Ramsey model so as to ...
Md. Azizul Baten, Anton Abdulbasah Kamil
doaj   +4 more sources

A Generalized Finite Difference Method for Solving Hamilton–Jacobi–Bellman Equations in Optimal Investment

open access: yesMathematics, 2023
This paper studies the numerical algorithm of stochastic control problems in investment optimization. Investors choose the optimal investment to maximize the expected return under uncertainty.
Jiamian Lin   +3 more
doaj   +1 more source

Asymptotic Behavior of an Optimal Investment-Reinsurance Problem with General Utility Functions

open access: yesDiscrete Dynamics in Nature and Society, 2022
It is usually extremely difficult to derive an analytical solution to the Hamilton-Jacobi-Bellman (HJB) equation for some optimal control problems under general utility functions, while this paper provides a dual control method to solve the HJB equation ...
Yan Zhang, Peibiao Zhao
doaj   +1 more source

Neural network‐based optimal tracking control for partially unknown discrete‐time non‐linear systems using reinforcement learning

open access: yesIET Control Theory & Applications, 2021
Otimal tracking control of discrete‐time non‐linear systems is investigated in this paper. The system drift dynamics is unknown in this investigation. Firstly, in the light of the discrete‐time non‐linear systems and reference signal, an augmented system
Jingang Zhao, Prateek Vishal
doaj   +1 more source

Robust Trajectory Tracking Control for Continuous-Time Nonlinear Systems with State Constraints and Uncertain Disturbances

open access: yesEntropy, 2022
In this paper, a robust trajectory tracking control method with state constraints and uncertain disturbances on the ground of adaptive dynamic programming (ADP) is proposed for nonlinear systems.
Chunbin Qin   +3 more
doaj   +1 more source

Optimal Dividends for a Two-Dimensional Risk Model with Simultaneous Ruin of Both Branches

open access: yesRisks, 2022
We consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative.
Philipp Lukas Strietzel   +1 more
doaj   +1 more source

Optimization of Boiler Soot Blowing Based on Hamilton-Jacobi-Bellman Equation

open access: yesIEEE Access, 2019
In this paper, the optimization of the boiler soot blowing is investigated based on the Hamilton-Jacobi-Bellman (HJB) equation and from the standpoint of the equipment health management.
Jie Wen   +4 more
doaj   +1 more source

Data-Driven Adaptive Dynamic Programming for Optimal Control of Continuous-Time Multicontroller Systems With Unknown Dynamics

open access: yesIEEE Access, 2022
This paper investigates the optimal control of continuous-time multi-controller systems with completely unknown dynamics using data-driven adaptive dynamic programming (DD-ADP).
Jingang Zhao
doaj   +1 more source

Smooth Value Functions for a Class of Nonsmooth Utility Maximization Problems [PDF]

open access: yes, 2010
In this paper we prove that there exists a smooth classical solution to the HJB equation for a large class of constrained problems with utility functions that are not necessarily differentiable or strictly concave.
Bian, Baojun, Miao, Sheng, Zheng, Harry
core   +1 more source

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