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Necessary Conditions for Optimal Control of Forward-Backward Stochastic Systems with Random Jumps
Author
Source
International Journal of Stochastic Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-50, 50 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-02
Country of Publication
Egypt
No. of Pages
50
Main Subjects
Abstract EN
This paper deals with the general optimal control problem for fully coupled forward-backward stochastic differential equations with random jumps (FBSDEJs).
The control domain is not assumed to be convex, and the control variable appears in both diffusion and jump coefficients of the forward equation.
Necessary conditions of Pontraygin's type for the optimal controls are derived by means of spike variation technique and Ekeland variational principle.
A linear quadratic stochastic optimal control problem is discussed as an illustrating example.
American Psychological Association (APA)
Shi, Jingtao. 2012. Necessary Conditions for Optimal Control of Forward-Backward Stochastic Systems with Random Jumps. International Journal of Stochastic Analysis،Vol. 2012, no. 2012, pp.1-50.
https://search.emarefa.net/detail/BIM-458117
Modern Language Association (MLA)
Shi, Jingtao. Necessary Conditions for Optimal Control of Forward-Backward Stochastic Systems with Random Jumps. International Journal of Stochastic Analysis No. 2012 (2012), pp.1-50.
https://search.emarefa.net/detail/BIM-458117
American Medical Association (AMA)
Shi, Jingtao. Necessary Conditions for Optimal Control of Forward-Backward Stochastic Systems with Random Jumps. International Journal of Stochastic Analysis. 2012. Vol. 2012, no. 2012, pp.1-50.
https://search.emarefa.net/detail/BIM-458117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458117