Gengsheng Wang

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20242026

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3 papers · 1 filter

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…

Exact Truncation and Radial Rigidity in Time-Optimal Control

Endpoint Asymptotics of Optimal Stabilization Prefactors

Controllable subspaces and real-part observability for Schrödinger equations on Td

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