4 citations · 5 across the 6 of their papers we have counts for
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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…
Finite Codimensional Controllability for Evolution Equations
Xu Liu, Qi Lu, Xu Zhang
Motivated by infinite-dimensional optimal control problems with endpoint state constraints, in this Note, we introduce the notion of finite codimensional exact controllability for…
Fredholm Transform and Local Rapid Stabilization for a Kuramoto-Sivashinsky Equation
Jean-Michel Coron, Qi Lu
This paper is devoted to the study of the local rapid exponential stabilization problem for a controlled Kuramoto-Sivashinsky equation on a bounded interval. We build a feedback co…
Averaged controllability for random evolution partial differential equations
Qi Lu, Enrique Zuazua
We analyze the averaged controllability properties of random evolution Partial Differential Equations. We mainly consider heat and Schrödinger equations with random parameters, alt…
Stochastic Well-posed Systems and Well-posedness of Some Stochastic Partial Differential Equations with Boundary Control and Observation
Qi Lu
We generalize the concept "well-posed linear system" to stochastic linear control systems and study some basic properties of such kind systems. Under our generalized definition, we…
Transposition Method for Backward Stochastic Evolution Equations Revisited, and Its Application
Qi Lu, Xu Zhang
The main purpose of this paper is to improve our transposition method to solve both vector-valued and operator-valued backward stochastic evolution equations with a general filtrat…