68 citations · 147 across the 38 of their papers we have counts for
5 papers · 2 filters
An Internal Observability Estimate for Stochastic Hyperbolic Equations
Xiaoyu Fu, Xu Liu, Qi Lu +1
This paper is addressed to establishing an internal observability estimate for some linear stochastic hyperbolic equations. The key is to establish a new global Carleman estimate f…
Null Controllability for Wave Equations with Memory
Qi Lu, Xu Zhang, Enrique Zuazua
We study the memory-type null controllability property for wave equations involving memory terms. The goal is not only to drive the displacement and the velocity (of the considered…
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…