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math.OC2026
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…
math.OC2026
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…