activity
20242026
most cited-solutions of QSDE driven by Fermion fields with nonlocal conditions under non-Lipschitz coefficients

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.OC2026

Second order necessary conditions for quantum stochastic optimal control problems

Penghui Wang, Shan Wang

This paper aims to establish second order necessary conditions for optimal control in quantum stochastic systems. We employ a variational approach, analogous to methods in classica…

math.OC2025

Quantum stochastic linear quadratic control theory: Closed-loop solvability

Wang Penghui, Wang Shan, Zhao Shengkai

In this paper, we investigate the closed-loop solvability of the quantum stochastic linear quadratic optimal control problem. We derive the Pontryagin maximum principle for the lin…

math.OC2024

Optimal control of quantum stochastic systems in fermion fields: The Pontryagin-type maximum principle (II)

Penghui Wang, Shan Wang

In the present paper, by using the relaxed transposition method[29], we solve the second-order adjoint equations, corresponding to the optimal control of quantum stochastic systems…

math.OC2024

Optimal control of quantum system in fermion fields: Pontryagin-type maximum principle(I)

Penghui Wang, Shan Wang

In this paper, the Pontryagin-type maximum principle for optimal control of quantum stochastic systems in fermion fields is obtained. These systems have gained significant prominen…

math.PR2024★ 2 cited

-solutions of QSDE driven by Fermion fields with nonlocal conditions under non-Lipschitz coefficients

Guangdong Jing, Penghui Wang, Shan Wang

The main purpose of this paper is to obtain the existence and uniqueness of -solution to quantum stochastic differential equation driven by Fermion fields with nonlocal condit…