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20092020
most citedStochastic maximum principle for infinite dimensional control systems

7 citations · 12 across the 13 of their papers we have counts for

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10 papers · 1 filter

math.OC2020

The Relationship between Maximum Principle and Dynamic Programming Principle for Stochastic Recursive Control Problem with Random Coefficients

Yuchao Dong, Qingxin Meng, Qi Zhang

This paper aims to explore the relationship between maximum principle and dynamic programming principle for stochastic recursive control problem with random coefficients. Under cer…

math.OC20201 cited

A Q-learning algorithm for discrete-time linear-quadratic control with random parameters of unknown distribution: convergence and stabilization

Kai Du, Qingxin Meng, Fu Zhang

This paper studies an infinite horizon optimal control problem for discrete-time linear systems and quadratic criteria, both with random parameters which are independent and identi…

math.OC2020

Optimal controls of stochastic differential equations with jumps and random coefficients: Stochastic Hamilton-Jacobi-Bellman equations with jumps

Qingxin Meng, Yuchao Dong, Yang Shen +1

In this paper, we study the following nonlinear backward stochastic integral partial differential equation with jumps \begin{equation*} \left\{ \begin{split} -d V(t,x) =&\displayst…

math.OC2018

Backward Stochastic Riccati Equation with Jumps associated with Stochastic Linear Quadratic Optimal Control with Jumps and Random Coefficients

Fu Zhang, Yuchao Dong, Qingxin Meng

In this paper, we investigate the solvability of matrix valued Backward stochastic Riccati equations with jumps (BSREJ), which is associated with a stochastic linear quadratic (SLQ…

math.OC2018

Second-Order Necessary Conditions for Optimal Control with Recursive Utilities

Yuchao Dong, Qingxin Meng

The necessary conditions for an optimal control of a stochastic control problem with recursive utilities is investigated. The first order condition is the the well-known Pontryagin…

math.OC2017

Maximum Principle of Forward-Backward Stochastic Differential System of Mean-Field Type with Observation Noise

Qingxin Meng, Qiuhong Shi, Maoning Tang

This paper is concerned with the partial information optimal control problem of mean-field type under partial observation, where the system is given by a controlled mean-field forw…