Title

A Linear Quadratic Optimal Control Problem For Stochastic Volterra Integral Equations

Keywords

Duality principle; Forward-backward stochastic integral equations; Linear quadratic optimal control problem

Abstract

A linear quadratic optimal control problem is considered for a stochastic Volterra integral equation. As a necessary condition for the optimality, a forward-backward stochastic Volterra integral equation (FBSVIE, for short) is derived, via a duality principle for stochastic integral equations.

Publication Date

1-1-2007

Publication Title

Control Theory and Related Topics: In Memory of Xunjing Li

Number of Pages

44-66

Document Type

Article; Book Chapter

Personal Identifier

scopus

DOI Link

https://doi.org/10.1142/9789812790552_0005

Socpus ID

84969217082 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84969217082

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