2026.10.27 10:00--11:00 报告一: Optimal Control of Systems Governed by First-order Hyperbolic PDEs

报告简介：The linear quadratic (LQ) optimal control problem plays an important role in the analysis and control of dynamical systems. However, extending classical LQ control theory to distributed parameter systems presents significant theoretical and computational challenges, particularly when stochastic uncertainties are involved. This talk focuses on the LQ optimal control of systems described by first-order hyperbolic partial differential equations and stochastic two-dimensional Roesser models. Particular attention is paid to the characterization of optimality conditions, the development of Riccati-based approaches, and the design of optimal feedback controllers. Theoretical results and numerical examples are presented to illustrate the proposed methods.

2026.10.27 11:00--12:00 报告二: Stabilization of First-Order Hyperbolic PDE Systems With Input Delay and Multiplicative Noise

报告简介：First-order hyperbolic partial differential equations (PDEs) are widely used to describe distributed parameter systems in various engineering applications. In practical settings, input delays and stochastic disturbances can significantly affect system performance and stability, making the design of stabilizing controllers particularly challenging. This talk investigates the stabilization of first-order hyperbolic PDE systems subject to input delays and multiplicative noise. The main focus is on predictive feedback control design and the characterization of stability conditions through Riccati-type equations and matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of the proposed control strategies.

报告人简介：薛晓敏，齐鲁工业大学（山东省科学院）数学与人工智能学部讲师。2020年获91黑料 理学硕士学位，2025年获山东大学工学博士学位。主要从事偏微分方程、最优控制、二维系统、网络化系统研究。发表论文十余篇，包括IEEE TAC、Automatica等领域顶级期刊。主持国家自然科学基金青年基金和山东省自然科学基金青年基金。

报告地点：91黑料 301