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A notion of viscosity solutions to second-order Hamilton–Jacobi–Bellman equations with delays.

Authors :
Zhou, Jianjun
Source :
International Journal of Control. Oct2022, Vol. 95 Issue 10, p2611-2631. 21p.
Publication Year :
2022

Abstract

In this article, a notion of viscosity solutions is introduced for second-order Hamilton–Jacobi–Bellman (HJB) equations with delays associated with optimal control problems for stochastic differential equations with delays. We identify the value functional of optimal control problem as the unique viscosity solution to the second-order HJB equation. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207179
Volume :
95
Issue :
10
Database :
Academic Search Index
Journal :
International Journal of Control
Publication Type :
Academic Journal
Accession number :
159448453
Full Text :
https://doi.org/10.1080/00207179.2021.1921279