Results 11 to 20 of about 14,906 (246)

Image Restoration via the Integration of Optimal Control Techniques and the Hamilton–Jacobi–Bellman Equation

open access: goldMathematics
In this paper, we propose a novel image restoration framework that integrates optimal control techniques with the Hamilton–Jacobi–Bellman (HJB) equation.
Dragos-Patru Covei
doaj   +2 more sources

Optimal Defined Contribution Pension Management with Jump Diffusions and Common Shock Dependence

open access: yesMathematics, 2023
This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is assumed to be proportional to the individual’s salary.
Wujun Lv, Linlin Tian, Xiaoyi Zhang
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

Optimal Feedback Control of Cancer Chemotherapy Using Hamilton–Jacobi–Bellman Equation

open access: yesComplexity, 2022
Cancer chemotherapy has been the most common cancer treatment. However, it has side effects that kill both tumor cells and immune cells, which can ravage the patient’s immune system. Chemotherapy should be administered depending on the patient’s immunity
Yong Dam Jeong   +5 more
doaj   +1 more source

Collision Avoidance Problem of Ellipsoid Motion

open access: yesMathematics, 2022
This paper studies the problem of target control and how a virtual ellipsoid can avoid the static obstacle. During the motion to the target set, the virtual ellipsoid can achieve a motion under collision avoidance by keeping the distance between the ...
Shujun Guo   +9 more
doaj   +1 more source

The large time profile for Hamilton–Jacobi–Bellman equations [PDF]

open access: yesMathematische Annalen, 2021
Here, we study the large-time limit of viscosity solutions of the Cauchy problem for second-order Hamilton--Jacobi--Bellman equations with convex Hamiltonians in the torus. This large-time limit solves the corresponding stationary problem, sometimes called the ergodic problem.
Gomes, Diogo A.   +2 more
openaire   +4 more sources

Dynamic Programming and Hamilton–Jacobi–Bellman Equations on Time Scales

open access: yesComplexity, 2020
Bellman optimality principle for the stochastic dynamic system on time scales is derived, which includes the continuous time and discrete time as special cases.
Yingjun Zhu, Guangyan Jia
doaj   +1 more source

On Stability of Perturbed Nonlinear Switched Systems with Adaptive Reinforcement Learning

open access: yesEnergies, 2020
In this paper, a tracking control approach is developed based on an adaptive reinforcement learning algorithm with a bounded cost function for perturbed nonlinear switched systems, which represent a useful framework for modelling these converters, such ...
Phuong Nam Dao   +3 more
doaj   +1 more source

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