Title
Optimal Control of Background-Based Uncertain Systems with Applications in DC Pension Plan
Abstract
In this paper, we propose a new optimal control model for uncertain systems with jump. In the model, the background-state variables are incorporated, where the background-state variables are governed by an uncertain differential equation. Meanwhile, the state variables are governed by another uncertain differential equation with jump, in which both the background-state variables and the control variables are involved. Under the optimistic value criterion, using uncertain dynamic programming method, we establish the principle and the equation of optimality. As an application, the optimal investment strategy and optimal payment rate for DC pension plans are given, where the corresponding background-state variables represent the salary process. This application in DC pension plans illustrates the effectiveness of the proposed model.
Year
DOI
Venue
2022
10.3390/e24050734
ENTROPY
Keywords
DocType
Volume
optimal control, uncertainty theory, optimistic value, defined contribution pension plan, background-state variable
Journal
24
Issue
ISSN
Citations 
5
1099-4300
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Wei Liu11121.81
Wanying Wu200.34
Xiaoyi Tang300.34
yijun hu401.01