5 papers
Global exponential turnpike properties for optimal control of the viscous Burgers equation
Emmanuel Trélat, Xingwu Zeng, Can Zhang
We establish global exponential turnpike properties for quadratic optimal tracking problems governed by the one-dimensional viscous Burgers equation with localized internal control…
A Periodic Dichotomy in Linear Control Theory
Shichao Ye, Xingwu Zeng, Can Zhang
In this paper, we construct a periodic dichotomy transformation using solutions of periodic Riccati and Lyapunov equations. As an application of this transformation, we provide an…
Small-time approximate controllability for the nonlinear complex Ginzburg-Landau equation with bilinear control
Xingwu Zeng, Can Zhang
In this paper, we consider the bilinear approximate controllability for the complex Ginzburg-Landau (CGL) equation with a power-type nonlinearity of any integer degree on a torus o…
Quantitative uniqueness estimates for stochastic parabolic equations on the whole Euclidean space
Yuanhang Liu, Donghui Yang, Xingwu Zeng +1
In this paper, a quantitative estimate of unique continuation for the stochastic heat equation with bounded potentials on the whole Euclidean space is established. This paper gener…
The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension
Emmanuel Trélat, Xingwu Zeng, Can Zhang
In this paper, we establish an exponential periodic turnpike property for linear quadratic optimal control problems governed by periodic systems in infinite dimension. We show that…