1月14日 | 杨淑振:A Unified Optimal Control framework: Time Optimal Control and Stochastic Optimal Control

时   间:2026年1月14 日(周三)9:00 – 10:00

地   点:中北理科大楼A1714室

报告人:杨淑振   山东大学教授

主持人:李丹萍   华东师范大学教授

摘   要:

In this paper, we propose a unified stochastic optimal control framework that bridges time-optimal control problems and classical stochastic optimal control problems. Unlike traditional deterministic free-time optimal control formulations, our framework incorporates a generalized stochastic control structure under minimum-time constraints, where the minimum-time condition characterizes the earliest achievable moment for reaching a target state in expectation, and the terminal time becomes an endogenous control-dependent variable. The main contributions of this study are: Derivation of an extended stochastic maximum principle for the proposed model; Clarification of the connections between mean-field optimal control and time-optimal control problems.

报告人简介:

杨淑振,山东大学金融研究院教授,博士生导师,山东省泰山学者青年专家。主要从事非线性期望、金融数学和随机最优控制问题的研究,在《Journal of Financial Econometrics》,《Journal of Mathematical Economics》,《经济研究》等期刊发表论文,主持国家自然科学基金青年、面上项目、华为横向课题等。


发布者:张瑛发布时间:2026-01-12浏览次数:23