68 citations · 147 across the 38 of their papers we have counts for
4 papers · 2 filters
Relationships Between the Maximum Principle and Dynamic Programming for Infinite Dimensional Stochastic Control Systems
Liangying Chen, Qi Lü
Pontryagin type maximum principle and Bellman's dynamic programming principle serve as two of the most important tools in solving optimal control problems. There is a huge literatu…
Null controllability for stochastic fourth order parabolic equations
Qi Lü, Yu Wang
We establish the null controllability for linear stochastic fourth order parabolic equations. Utilizing the duality argument, the null controllability is reduced to the observabili…
Verifiable constraint qualifications for infinite-dimensional optimization problems and their applications to optimal control problems
Xu Liu, Qi Lü, Haisen Zhang +1
This paper employs a finite codimensionality condition to establish an enhanced Fritz John condition for general constrained nonlinear infinite-dimensional optimization problems. I…
A Concise Introduction to Control Theory for Stochastic Partial Differential Equations
Qi Lü, Xu Zhang
The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllabilit…