Gengsheng Wang

activity

20242026

collaborators

5 papers

math.OC2026

Exact Truncation and Radial Rigidity in Time-Optimal Control

Changqin Quan, Gengsheng Wang, Lijuan Wang +1

We consider minimum-time control for the linear system $z ˙ (t) = A z (t) + B u (t), ∥ u ∥_{L^{\infty} (0, \infty; R^{m})} \leq 1,$ with $A \in R^{n \times n}$ and $B\in…

math.OC2026

Endpoint Asymptotics of Optimal Stabilization Prefactors

Changqin Quan, Gengsheng Wang

Consider the stabilizable finite-dimensional linear control system $x ˙ = A x + B u$ . For a prescribed decay rate $δ > 0$ , we define the optimal stabilization prefactor $$ \hat{C}(δ) :=…

math.AP2026

Controllable subspaces and real-part observability for Schrödinger equations on $T^{d}$

Gengsheng Wang, Ming Wang

We study internal controllability of Schrödinger equations on tori with controls acting only through their real parts. This real-part constraint leads to a real-linear control prob…

math.AP2025

Quantitative observability for the Schrödinger equation with an anharmonic oscillator

Shanlin Huang, Gengsheng Wang, Ming Wang

This paper studies the observability inequalities for the Schrödinger equation associated with an anharmonic oscillator $H=-\frac{\d^2}{\d x^2}+|x|$. We build up the observability…

math.AP2024

Observability inequality, log-type Hausdorff content and heat equations