报告题目：     Controlled dynamical systems and their controllability
报 告 人：     Control system is a family of smooth dynamical sys
报告人所在单位：     International School for Advanced Studies, SISSA, Trieste, Italy
报告日期：     2022-10-18
报告时间：     16:30 – 17:30
报告地点：     ZOOM Meeting ID: 843 7342 7605 Passcode: 587110
      
报告摘要：    

Control system is a family of smooth dynamical systems defined on a state\ space\ M. The family is parametrized by a control parameter u\in U, where U can be any set. It is allowed to switch from one dynamics in the family to another one at any time and to do it any number of times. The control system is exactly\ (approximately)\ controllable if we can get (approximate arbitrarily well) any state q_1\in M from any initial state q_0\in M by an appropriate choice of the switchings. In this series of lectures, I plan to describe effective tools which allow us to check the controllability of big systems with small sets of control parameters. The Navier--Stokes and Euler equations of the Mathematical Fluid Dynamics controlled by a degenerate forcing and their finite dimensional approximations are going to be main examples.

This story is a part of the Geometric Control Theory. A familiarity with the first three lectures of the course by Yu. Sachkov <http://control.botik.ru/?page_id=3285&lang=en> would be very useful although not mandatory. I will recall the main fact but won't go into the details.

学术报告海报10.18-28.pdf
      
本年度学院报告总序号：     572
--
FROM 211.161.249.*