most citedCausal State Feedback Representation for Linear Quadratic Optimal Control Problems of Singular Volterra Integral Equations

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math.OC20221 cited

Turnpike Properties for Mean-Field Linear-Quadratic Optimal Control Problems

Jingrui Sun, Jiongmin Yong

This paper is concerned with an optimal control problem for a mean-field linear stochastic differential equation with a quadratic functional in the infinite time horizon. Under sui…

math.OC20221 cited

Optimal Controls for Forward-Backward Stochastic Differential Equations: Time-Inconsistency and Time-Consistent Solutions

Hanxiao Wang, Jiongmin Yong, Chao Zhou

This paper is concerned with an optimal control problem for a forward-backward stochastic differential equation (FBSDE, for short) with a recursive cost functional determined by a…

math.OC2022

Linear-Quadratic Optimal Controls for Stochastic Volterra Integral Equations: Causal State Feedback and Path-Dependent Riccati Equations

Hanxiao Wang, Jiongmin Yong, Chao Zhou

A linear-quadratic optimal control problem for a forward stochastic Volterra integral equation (FSVIE, for short) is considered. Under the usual convexity conditions, open-loop opt…

math.OC20222 cited

Turnpike Properties for Stochastic Linear-Quadratic Optimal Control Problems

Jingrui Sun, Hanxiao Wang, Jiongmin Yong

This paper analyzes the limiting behavior of stochastic linear-quadratic optimal control problems in finite time horizon as . The so-called turnpike pro…

math.OC20212 cited

Causal State Feedback Representation for Linear Quadratic Optimal Control Problems of Singular Volterra Integral Equations

Shuo Han, Ping Lin, Jiongmin Yong

This paper is concerned with a linear quadratic optimal control for a class of singular Volterra integral equations. Under proper convexity conditions, optimal control uniquely exi…