Results 31 to 40 of about 1,725 (192)

Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate

open access: yesJournal of Function Spaces, 2020
In order to tackle the problem of how investors in financial markets allocate wealth to stochastic interest rate governed by a nested stochastic differential equations (SDEs), this paper employs the Nash equilibrium theory of the subgame perfect ...
Shuang Li   +4 more
doaj   +1 more source

A class of infinite-horizon stochastic delay optimal control problems and a viscosity solution to the associated HJB equation [PDF]

open access: yes, 2018
In this paper, we investigate a class of infinite-horizon optimal control problems for stochastic differential equations with delays for which the associated second order Hamilton−Jacobi−Bellman (HJB) equation is a nonlinear partial differential equation
Jianjun Zhou, Zhou, Jianjun
core   +1 more source

Some Results on Bellman Equations of Optimal Production Control in a Stochastic Manufacturing System

open access: yesJournal of Probability and Statistics, 2009
The paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand. We establish the existence of a unique solution of the Hamilton-
Azizul Baten, Anton Abdulbasah Kamil
doaj   +1 more source

Prediction on Flow and Thermal Characteristics of Ultrathin Lubricant Film of Hydrodynamic Journal Bearing

open access: yesMicromachines, 2021
This paper focuses on the flow and thermal characteristics of the lubricant film in the micro clearance of a hydrodynamic journal bearing (HJB) at high rotating speed.
Yulong Jiang   +4 more
doaj   +1 more source

A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity

open access: yesJournal of Biological Dynamics, 2019
A simplified stochastic control model for optimization of logistic dynamics with the control-dependent carrying capacity, which is motivated by a recent algae population management problem in the river environment, is presented.
Hidekazu Yoshioka
doaj   +1 more source

An analytical solution for the HJB equation arising from the Merton problem

open access: yes, 2018
In this paper, an analytical solution for the well-known Hamilton-Jacobi-Bellman (HJB) equation that arises from the Merton problem subject to general utility functions is presented for the first time.
Guiyuan Ma (20118780)   +1 more
core   +2 more sources

Dynamic Mean-Variance Model with Borrowing Constraint under the Constant Elasticity of Variance Process

open access: yesJournal of Applied Mathematics, 2013
This paper studies a continuous-time dynamic mean-variance portfolio selection problem with the constraint of a higher borrowing rate, in which stock price is governed by a constant elasticity of variance (CEV) process. Firstly, we apply Lagrange duality
Hao Chang, Xi-min Rong
doaj   +1 more source

Min–Max Dynamic Programming Control for Systems with Uncertain Mathematical Models via Differential Neural Network Bellman’s Function Approximation

open access: yesMathematics, 2023
This research focuses on designing a min–max robust control based on a neural dynamic programming approach using a class of continuous differential neural networks (DNNs). The proposed controller solves the robust optimization of a proposed cost function
Alexander Poznyak   +4 more
doaj   +1 more source

HJB-POD Feedback Control for Navier-Stokes Equations [PDF]

open access: yes, 2016
In this report we present the approximation of an infinite horizon optimal control problem for the evolutive Navier-Stokes system. The method is based on a model reduction technique, using a POD approximation, coupled with a Hamilton-Jacobi equation which characterizes the value function of the corresponding control problem for the reduced system ...
Alla, Alessandro, Hinze, Michael
openaire   +2 more sources

A stochastic HJB equation for optimal control of forward-backward SDEs

open access: yes, 2013
We study optimal stochastic control problems of general coupled systems of forward- backward stochastic di erential equations with jumps. By means of the It^o-Ventzell formula the system is transformed to a controlled backward stochastic partial di eren-
Øksendal, Bernt   +2 more
core   +2 more sources

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