Results 11 to 20 of about 1,220,533 (174)

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

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   +7 more sources

Constrained utility deviation-risk optimization and time-consistent HJB equation [PDF]

open access: yes, 2020
In this paper we propose a unified utility deviation-risk model which covers both utilitymaximization and mean-variance analysis as special cases.
Zheng, Harry, gu, jiawen, Si, Shijing
core   +1 more source

HJB equations and stochastic control on half-spaces of Hilbert spaces [PDF]

open access: yes, 2023
In this paper, we study a first extension of the theory of mild solutions for Hamilton–Jacobi–Bellman (HJB) equations in Hilbert spaces to the case where the domain is not the whole space.
cappa gianluca   +3 more
core   +3 more sources

Observer-Based Adaptive Control of Uncertain Nonlinear Systems Via Neural Networks

open access: yesIEEE Access, 2018
In this paper, a novel observer-based control strategy is proposed for a class of uncertain continuous-time nonlinear systems based on the Hamilton-Jacobi-Bellman (HJB) equation.
Chaoxu Mu, Yong Zhang, Ke Wang
doaj   +1 more source

A Study on Numerical Solutions of Hamilton-Jacobi-Bellman Equations Based on Successive Approximation Approach

open access: yesSICE Journal of Control, Measurement, and System Integration, 2020
This paper presents a numerical approach to solve the Hamilton-Jacobi-Bellman (HJB) equation, which arises in nonlinear optimal control. In this approach, we first use the successive approximation to reduce the HJB equation, a nonlinear partial ...
Ichiro Maruta   +2 more
doaj   +1 more source

Adaptive Neural Network Optimized Control Using Reinforcement Learning of Critic-Actor Architecture for a Class of Non-Affine Nonlinear Systems

open access: yesIEEE Access, 2021
In this article, an optimized tracking control using critic-actor reinforcement learning (RL) strategy is investigated for a class of non-affine nonlinear continuous-time systems.
Xue Yang, Bin Li, Guoxing Wen
doaj   +1 more source

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

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   +1 more source

Optimal Surplus-Dependent Reinsurance under Regime-Switching in a Brownian Risk Model

open access: yesRisks, 2021
In this paper, we consider a company that wishes to determine the optimal reinsurance strategy minimising the total expected discounted amount of capital injections needed to prevent the ruin. The company’s surplus process is assumed to follow a Brownian
Julia Eisenberg   +2 more
doaj   +1 more source

Triangle Inequality for Inverse Optimal Control

open access: yesIEEE Access, 2023
Inverse optimal control (IOC) is a problem of estimating a cost function based on the behaviors of an expert that behaves optimally with respect to the cost function.
Sho Mitsuhashi, Shin Ishii
doaj   +1 more source

Optimal Control of Investment-Reinsurance Problem for an Insurer with Jump-Diffusion Risk Process: Independence of Brownian Motions

open access: yesAbstract and Applied Analysis, 2014
This paper investigates the excess-of-loss reinsurance and investment problem for a compound Poisson jump-diffusion risk process, with the risk asset price modeled by a constant elasticity of variance (CEV) model.
De-Lei Sheng, Ximin Rong, Hui Zhao
doaj   +1 more source

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