A Necessary Condition for Optimal Control of Forward-Backward Stochastic Control System with Lévy Process in Nonconvex Control Domain Case
Joint Authors
Wang, Xiangrong
Huang, Hong
Li, Ying
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper analyzes one kind of optimal control problem which is described by forward-backward stochastic differential equations with Lévy process (FBSDEL).
We derive a necessary condition for the existence of the optimal control by means of spike variational technique, while the control domain is not necessarily convex.
Simultaneously, we also get the maximum principle for this control system when there are some initial and terminal state constraints.
Finally, a financial example is discussed to illustrate the application of our result.
American Psychological Association (APA)
Huang, Hong& Wang, Xiangrong& Li, Ying. 2020. A Necessary Condition for Optimal Control of Forward-Backward Stochastic Control System with Lévy Process in Nonconvex Control Domain Case. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1193517
Modern Language Association (MLA)
Huang, Hong…[et al.]. A Necessary Condition for Optimal Control of Forward-Backward Stochastic Control System with Lévy Process in Nonconvex Control Domain Case. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1193517
American Medical Association (AMA)
Huang, Hong& Wang, Xiangrong& Li, Ying. A Necessary Condition for Optimal Control of Forward-Backward Stochastic Control System with Lévy Process in Nonconvex Control Domain Case. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1193517
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193517