Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations

نویسندگان

چکیده

This paper is concerned with a linear quadratic optimal control problem of delayed backward stochastic differential equations. An explicit representation derived for the control, which feedback entire past history and expected value future state trajectory in short period time. To obtain feedback, new class Riccati equations delayed-advanced forward-backward are introduced. Furthermore, unique solvability their solutions discussed detail.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Linear-Quadratic Control of Backward Stochastic Differential Equations

This paper is concerned with optimal control of linear backward stochastic differential equations (BSDEs) with a quadratic cost criteria, or backward linear-quadratic (BLQ) control. The solution of this problem is obtained completely and explicitly by using an approach which is based primarily on the completion-of-squares technique. Two alternative, though equivalent, expressions for the optima...

متن کامل

Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations

A Linear-quadratic optimal control problem is considered for mean-field stochastic differential equations with deterministic coefficients. By a variational method, the optimality system is derived, which turns out to be a linear mean-field forward-backward stochastic differential equation. Using a decoupling technique, two Riccati differential equations are obtained, which are uniquely solvable...

متن کامل

Haar Matrix Equations for Solving Time-Variant Linear-Quadratic Optimal Control Problems

‎In this paper‎, ‎Haar wavelets are performed for solving continuous time-variant linear-quadratic optimal control problems‎. ‎Firstly‎, ‎using necessary conditions for optimality‎, ‎the problem is changed into a two-boundary value problem (TBVP)‎. ‎Next‎, ‎Haar wavelets are applied for converting the TBVP‎, ‎as a system of differential equations‎, ‎in to a system of matrix algebraic equations‎...

متن کامل

Maximum Principle for Optimal Control of Fully Coupled Forward-backward Stochastic Differential Delayed Equations

Abstract. This paper deals with the optimal control problem in which the controlled system is described by a fully coupled anticipated forward-backward stochastic differential delayed equation. The maximum principle for this problem is obtained under the assumption that the diffusion coefficient does not contain the control variables and the control domain is not necessarily convex. Both the ne...

متن کامل

Solvability Conditions for Indefinite Linear Quadratic Optimal Stochastic Control Problems and Associated Stochastic Riccati Equations

A linear quadratic optimal stochastic control problem with random coefficients and indefinite state/control weight costs is usually linked to an indefinite stochastic Riccati equation (SRE), which is a matrix-valued quadratic backward stochastic differential equation along with an algebraic constraint involving the unknown. Either the optimal control problem or the SRE is solvable only if the g...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics and Optimization

سال: 2021

ISSN: ['0095-4616', '1432-0606']

DOI: https://doi.org/10.1007/s00245-021-09778-4