Geometric control theory, sub-Riemannian geometry, and their applications

报告题目：

报告人：

Professor Yuri L. Sachkov

报告人所在单位：

Russian Academy of Sciences

报告日期：

2022-03-15

报告时间：

16:30 – 17:30

报告地点：

ZOOM Meeting ID: 878 1712 1063 Passcode: 345958

报告摘要：

The mini-course of 6 lectures will be devoted to introduction to geometric control theory and its applications. It will cover the questions of controllability, optimal control, and sub-Riemannian geometry. Applications will include PDEs, metric geometry on Lie groups, mechanics, robotics, and vision.

The lecture course include the following topics:

1. Examples and statements of control problems

2. Local controllability of nonlinear systems

3. Orbit theorem, Frobenius theorem, Krener’s theorem

4. Pontryagin maximum principle

5. Sub-Riemannian geometry on Lie groups

6. Applications of sub-Riemannian geometry to PDEs and metric geometry on Lie groups

7. Applications of geometric control to mechanics, robotics, and vision.

3.15-4.1.pdf

本年度学院报告总序号：

423

科学研究

Geometric control theory, sub-Riemannian geometry, and their applications